A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?

Answers

Answer 1

Answer:

Step-by-step explanation:

This question bothers on combination. combination has to do with selection.

If 4 faculty members are chosen from total of  8 faculty members, this can be done in 8C4 number of ways.

8C4 = 8!/(8-4)!4!

8C4 = 8!/4!4!

8C4 = 8*7*6*5*4!/4!*4*3*2

8c4 = 8*7*6*5/24

8C4 = 7*5*2

8C4  =70 ways

Similarly,  5 students are to be selected from a pool of 13 students, this can be done in 13C5 number of ways.

13C5 = 13!/(13-5)!5!

13C5 = 13!/8!5!

13C5 = 13*12*11*10*9*8!/8!*5*4*3*2

13C5 = 13*12*11*10*9/120

13C5 = 1,287 ways

The total number of ways the committee can be formed is 8C4 * 13C5 = 70*1287

The total number of ways the committee can be formed is 90,090 ways


Related Questions

A scientist studies a pod of humpback whales to determine the migration of humpback whales. What is the population?



Group of answer choices:

A. all whales

B. dolphins

C. all humpback whales

D. a pod of humpback whales

Answers

d . a pod of humpback whales ( sorry if it’s wrong )

Pls help me on this problem I’m confused

Answers

Answer:

1 pound = 16 ounces

3 × 16 = 48 ounces

48 + 12 = 60

60 ÷ 6 ounces a week = 10 weeks

plsssssssssssssss

help

really urgent

thank you

reward: follow, heart and brainliest

Answers

For your first claim you can say because I told the number from a is larger. For the second claim you would measure the differences between all 7 numbers for section B. If you wanted to claim the average was the same for both, you would say there is no difference and they both equal the same average. Hope this helps

Help ASAP please!!!!!!!

Answers

i am pretty sure that it is the same thing just all the numbers are negative, i really hope that is right

A car leaves at 9 : 00 a.m. and drives at a constant speed. It is 20 miles from its starting point at 9 : 30 a.m. At what time will the car be 200 miles from its starting point?

PLSSSS HELP

Answers

Answer:

2:00 PM

Step-by-step explanation:

I figured out that the car is going 40 mph seeing as how it went 20 miles in 30 minutes.

I used this and found out how many hours it would take to get to 200 miles at this rate:

200/40 = 5

I divided 40 by 200 as 200 is the end goal and the car is going 40 mph.

The 5 is 5 hours, so I added 9 and 5 to get 14 which is 2:00 PM

Hope this helps!! :)

Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 4 hours. On average, how many pancakes did Selena make per hour?

Answers

Answer: 33

Step-by-step explanation:

Divide 132 and 4,

132 divided by 4 equals 33

help with quadratic equations ​

Answers

Answer:

Step-by-step explanation:

Discriminant = b² - 4ac

a = 3 ; b = 24  and c = 48

Discriminant = 24² - 4*3*49

                     = 576 - 576

                      = 0

As discriminant is 0, there is only 1 real root.

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Information

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex]  is the base (or growth factor)[tex]x[/tex]  is the independent variable

Also, growth rate [tex]r=b-1[/tex]

Domain:  input values - independent variable ⇒ [tex]x[/tex]

Range:  output values - dependent variable ⇒ [tex]y[/tex]

y-intercept:  when [tex]x=0[/tex]

Asymptote:  the line(s) that the curve approaches as it tends towards infinity

Given function:  [tex]f(x)=200(1.08)^x[/tex]

Solution

Domain:   [tex]-\infty < x < +\infty[/tex]

Range:   [tex]y > 0[/tex]

y-intercept ([tex]a[/tex]):  [tex](0, 200)[/tex]

Asymptote:   [tex]y=0[/tex]

Growth Rate ([tex]b-1[/tex]):   [tex]0.08[/tex]

Growth Factor ([tex]b[/tex]):   [tex]1.08[/tex]

End behaviors:

[tex]\textsf{as } x \rightarrow -\infty, f(x) \rightarrow0[/tex]

[tex]\textsf{as } x \rightarrow +\infty, f(x) \rightarrow+\infty[/tex]

Number two please I need it real quick

Answers

Answer:

B

Step-by-step explanation:

When you add 2 of the sides together, they are always greater than the other

The answer is b because 15+ 9 is greater then 23 so yeah

What is the area of the triangle?
4
6
units?

I NEED HELP

Answers

Answer:

12 centeters squared (cm^2)

Step-by-step explanation:

Area of a triangle is 1/2(base x hieght),

6 is h & 4 is b.

what’s the first 6 nonzero multiples of 12?

Answers

6 non zero multiple of 12 are 24,36,48,72,84,96.
12 24 36 48 60 72
you just multiply 12x1 12x2 12x3 and so on

For which polygon is the sum of the exterior angles equal to 360o?.

Answers

Answer:

equiangular polygons

Step-by-step explanation:

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

I need help plzzz
ASAP plzz

Answers

Answer:

25

Step-by-step explanation:

I hope this helps, and good luck!

Answer: 20

There are 1,000 milliliters in 1 liter. You have 50 milliliters. So 1,000 / 50 = 20.

1,368 divided by 12. Please help

Answers

Answer:

114

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

because desmos. com/ scientific

x2−10x+29=5
Step 1 of 2: Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answers

Answer:

(x-6)(x-4) = 0

Step-by-step explanation:

Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2.  Now put two linear factors into parathesis to get (x-6)(x-4) = 0.

The local newspaper has letters to the editor for 40 people if this is the number represents 5% of all the newspaper readers how many readers does the newspaper have. fill in the blanks

Answers

40/5= 8  8 is 1% of the total people, 1% x 100 = 100%

8 x 100 = 800 people

The answer to this question would be: The newspaper has Eight hundred  readers.

Part = Percent x Whole

40 = 5% x 800

Do the equation above to make sure your correct( it is) and if it doesn't come back to 40 then your math is incorrect and you have the incorrect answer

Do that with all math that your trying to find the whole for, its a helpful thing.

Find the area and perimeter of the bold triangle

Answers

Answer:

area=368

perimeter=49

Step-by-step explanation:

17 x 24 = 368

17 + 24 = 41

41 + 8 = 49

For a given show, a theater charges $80 for a premium ticket and $30 for a regular ticket. If a total of n tickets were sold and p of them were premium tickets, what is the total amount, in dollars, from the sale of regular tickets and premium tickets?

Please explain the process.

Answers

Answer:

50p + 30n

Step-by-step explanation:

Cost of each premium ticket = $80.

Cost of each regular ticket = $30

Total tickets sold = n

We are told that p tickets were sold. Thus;

Total tickets sold is; p + (n - p)

Thus total amount generated is;

T = 80p + 30(n - p)

T = 50p + 30n

Some decimals are rational numbers and some are irrational. Which decimal does NOT represent a rational number?
A. 1.25
B. 1.22222...
C. 0.555555
D. 6.01001000100001...

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What is the value of n in the proportion below?
n/28=4/7
1
12
14
16

Answers

Answer:

16.

Step-by-step explanation:

Solution,

or , N/28 = 4/7

or N = 4 × 28 / 7 = 16.

HELP ASAP!!! BRAINLIEST!!! Write a cubic function whose graph passes through the given points.
(-1,0) (0,2) (2,0) (1,0)

Answers

f(x) = (3/16)(x+4)(x-4)(x-2)

Does this help?

Can anyone help me please

Answers

Answer:

NM = [tex]\sf \sqrt{70}[/tex]

Step-by-step explanation:

Let NM = y

If KL is twice the length of NM, then KL = 2y

Given:

KM = 20NO = 7

As ΔKLN ~ ΔNOM

   KL : KM = NO : NM

[tex]\sf \implies 2y : 20 = 7 : y[/tex]

[tex]\sf \implies \dfrac{2y}{20}=\dfrac{7}{y}[/tex]

[tex]\sf \implies 2y \cdot y=7 \cdot 20[/tex]

[tex]\sf \implies 2y^2=140[/tex]

[tex]\sf \implies y^2=70[/tex]

[tex]\sf \implies y=\sqrt{70}[/tex]

As NM = y, then NM = [tex]\sf \sqrt{70}[/tex]

Answer:

NM = [tex]\sqrt{70}[/tex]

Step-by-step explanation:

Δ NMO and Δ KML are similar ( by the AA postulate )

Then the ratios of corresponding sides are in proportion, that is

[tex]\frac{NM}{KM}[/tex] = [tex]\frac{NO}{KL}[/tex] ( substitute values, noting KL = 2NM )

[tex]\frac{KM}{29}[/tex] = [tex]\frac{7}{2NM}[/tex] ( cross- multiply )

2 NM² = 140 ( divide both sides by 2 )

NM² = 70 ( take the square root of both sides )

NM = [tex]\sqrt{70}[/tex]

Solve for m.

m/10 - 1/2 = 1/5

Answers

m is equal to 7

Step-by-step explanation:

trust me bro

Answer:

m=7

Step-by-step explanation:

[tex]\frac{m}{10}-\frac{1}{2}=\frac{1}{5}[/tex]

[tex]\mathrm{Add\:}\frac{1}{2}\mathrm{\:to\:both\:sides}[/tex]

[tex]\frac{m}{10}-\frac{1}{2}+\frac{1}{2}=\frac{1}{5}+\frac{1}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{m}{10}=\frac{7}{10}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]\frac{10m}{10}=\frac{7\cdot \:10}{10}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=7[/tex]

~Learn with Lenvy~

Solve x-4<3. Graph the solution

Answers

Step-by-step explanation:

I hope this helps you on your question

Just solve for 50 points and brainliest!

10-5+3=

6-4+10=

Answers

Answer:

10-5+3=8

Step-by-step explanation:

6-4+10=12

Answer:

number 1 - 10-5+3=8

number 2 - 6-4+10=12

Write the equation y=3/4x-4 in standard form

Answers

Answer:

-3x+4y=-16

Step-by-step explanation:

Find the missing number in this proportion. 9 = 18/32

Answers

Seems like they simplified the nine by dividing it by two, therefore divide the 32 by two as well and you get 16 so 9/16

Janet has 3 cube-shaped boxes. Each box has a side length of 10 inches. What is the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes

Answers

Answer:anyone here watch anime

Step-by-step explanation:

EREN JEAGER

The minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes is  12.5 square feet.

Side of each cube = 10 inches

Number of cubes =3

As we know The minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes will be the total surface area of all 3 boxes.

What is the total surface area of a cube?

The total surface area of a cube with side a is 6a².

So, the total surface area of a cube with a side of 10 inches will be 6*10² = 6*100 = 600 square feet.

So, the total surface area of 3 cubes with a side of 10 inches will be 600*3 = 1800 square inches.

As we know that 1 square inch = 0.00694444 square feet

So, 1800 square inches = 1800*0.00694444 = 12.5 square feet.

Therefore, the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes is  12.5 square feet.

To get more about cubes visit:

https://brainly.com/question/1972490

What is 8,980,000 in scientific notation

Answers

Answer: 8.98 × 10⁶

...................................

Find the slope of the line that passes through (10,-8) and (1, 12).

Answers

Answer:

m= -20/9

Step-by-step explanation:

Other Questions
True or false : the religious group that was considered by the English government to be subversive was the quakers , who believed everyone should be treated equally 2. (04.06 MC) Lee y escoge la opcin con la forma condicional correcta del verbo. Read and choose the option with the correct conditional tense of the verb. Yo ________ de la casa, si yo no tuviera que cocinar. (1 point) salira saldras saleras saldra pls answerQuestion 6(Multiple Choice Worth 2 points)(12.02 MC)Read the article Challenging Explorations.The 15th18th centuries were an age of exploration. Many people in Europe were searching for a better with greater opportunities. The desire for a better life led many to journey across the ocean to find new land to settle. Many European explorers landed in what they called the New World, which would later be called North America. These explorations were filled with challenges.The first challenge faced by many explorers was money. They needed financial backing to fund the ships, cargo, and crew required to make such a long journey. The solution was royalty, and explorers would approach kings and queens to convince them to invest in their voyages. If the king and queen agreed, then the explorer would have the money needed to fund an expedition. In return, any lands discovered during the voyage were claimed by that country.The next step was to obtain a seaworthy ship. Many ships were built during the age of exploration, but not all could handle a trip across the Atlantic Ocean. New ship designs were meant to suit long voyages. One such type was called a caravel, which was a small ship created for exploration in the 1400s. This type of ship was equipped with cargo space for voyages up to one year in length. Caravels were also considered seaworthy because they could travel about 90100 miles per day.Once aboard, the explorers set sail and used maps to navigate through known territory. The maps were not useful when sailors could not see land or when they were in unknown territory. How would they navigate across the vast Atlantic Ocean without any land markers to guide them? This problem led to the invention of navigation equipment. Compasses have a magnetized metal needle that always points north. Sailors use them as a point of reference to tell if their ship is in the right position to move forward. In order to find their location, sailors used astrolabes, , cross staffs, or quadrants to find latitude. With these tools, explorers were able to sail on to discover new lands.The finaland perhaps most difficultchallenge for many explorers was survival, as voyages could be long and tense. Maintaining supplies and finding land were important to prevent mutinies from occurring. Unfortunately, bringing supplies that would last the entire voyage led to another problem: scurvy. Many sailors died from the disease because they ate preserved food at sea. To survive, sailors needed to obtain and eat fresh vegetables and fruits.When sailors and explorers arrived on land, they had already overcome many obstacles. While more challenges awaited them, explorers were able to disembark and realize that they had reached the new world.Which statement best identifies the three main ideas of the text? Boats used to be like houses for the explorers, queens and kings loved to travel, and ships were built to handle long voyages.Explorers dealt with challenges when finding money for their voyage, navigating in uncharted waters, and surviving the long, dangerous journey.Sailors explored Europe, Asia, and North America, explorers had the most money, and surviving the long journey was extremely hard.Traveling by boat was difficult, explorers had a hard time finding money for their voyage, and people searched for a better life on the sea. 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