Permutations vs combinations(one step):

The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?

Answers

Answer 1

Answer:

the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]

So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.


Related Questions

What is the vertex for the graph shown below?
a. (0,0)
b. v=1
c. v=5
d. (5,1)

Answers

Answer:

D. (5,1)

Step-by-step explanation:

The vertex of the graph is V ( 5 , 1 ).

Given data:

The vertex of a function is a point on the graph where the function reaches its highest or lowest point, depending on whether the function is concave up or concave down.

The vertex represents the minimum or maximum point of the function and provides information about the axis of symmetry of the graph. If the function opens upward (concave up), the vertex is the lowest point (minimum).

So, the highest point in the graph where the function reaches the minimum value is when x = 5

So, the value of y = 1

Hence , the vertex is V ( 5 , 1 ).

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ2

Robin and Shaon obtained 5/6 and 4/5 of the total marks respectively in the annual examination.
Robin obtained 30 marks more than Shaon.
What is the total marks? And what marks did
everyone obtain?​

Answers

Answer:

sjsnana.amamakajsakqqmk

ANYONE PLS HELP MEEEE!!!!!!!

Answers

Answer:

Step-by-step explanation:

Town B breaks the population down to men women and children. That has meaning, although I did not check to see if the total is the same as what is stated above the total.

For the second question, the answers in order are

does not

cannot

does not.

You can't add things that do not have the same meaning.

does

can

does

You can add these 3 numbers together because all three numbers tell something about the people in town B

i need the answer to this graph​

Answers

the answer is 15!.......

This bottle contains 200 mL of liquid plant food. What is the best estimate of how much the bottle can hold when it is filled to the FULL mark?

Answers

Answer: 1,000 ml

Step-by-step explanation:

From the looks of it, the 200ml mark is about a fifth of the volume needed to get to the FULL mark.

If 200 is ¹/₅, the full mark will be;

= 200/ ¹/₅

= 1,000 ml

Answer:

1000 ml

Step-by-step explanation:

a line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point slope-form
b. rewrite the equation in standard form using integers ​

Answers

9514 1404 393

Answer:

  a) y +2 = (4/3)(x -3)

  b) 4x -3y = 18

Step-by-step explanation:

a) The slope formula gives part of what is needed for point-slope form:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-2))/(6 -3) = 4/3

Point-slope form is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Using the first point, we get ...

  y +2 = 4/3(x -3)

__

b) Multiplying by 3 and eliminating parentheses, we get ...

  3(y +2) = 4(x -3)

  3y +6 = 4x -12

Adding 12 -3y to both sides gives ...

  18 = 4x -3y

Putting this in the usual form, we have ...

  4x -3y = 18

If y=10x+0.08
Is this relationship proportional? At least 1 sentence explanation.

Answers

Answer:

No it is not proportional.

Step-by-step explanation:

another frreeeeee point now i got 0 great

Answers

Answer:

THXXX

Step-by-step explanation:

Answer:

TY! :D

Step-by-step explanation:

lol

5. Write the equation in slope-intercept form. 6x + 9y = 27​

Answers

Answer:

y= -6/9 x + 3

Step-by-step explanation:

subtract 6x from both sides

9y = -6x + 27

divide by 9

y= -6/9 x + 3

Answer:

Step-by-step explanation:

6x + 9y = 27

9y = -6x + 27

y = -[tex]\frac{6}{9}[/tex]x + 3

y = - [tex]\frac{2}{3}[/tex]x + 3

Neil's regular wage is $ 11 per hour. He gets $ 15.50 per hour for overtime. He was paid for 160 regular hours and 50 hours of overtime. How much was his total paycheck?

Answers

Answer:

$2535

Step-by-step explanation:

First, find the the pay he received for the regular hours worked.  To find this, you must multiply the hours worked by his wage.

$11 × 160 = $1760

Next find the the pay received for overtime.  Do the same process as above.

$15.50 × 50 = $775

Now that you have the pay for regular hours and overtime hours, add the two amounts together to find the amount for his total paycheck.

$1760 + $775 = $2535

what number when divided by nine give 12 remainder 11​

Answers

The answer 1.090909090909091

please help. first one in gets brainliest along with 5* and thanks.

Answers

Answer:

18-x

18/2=6

18-5=13

18-x
18/2=6
18-5=13 I’m not sure

Please help me with this - my teacher didn't explain this and if I get an f my parents will kill me please help.

Answers

Answer:

uh what do you want help with?? id be happy to help:D

Step-by-step explanation:

A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?

Answers

Answer:

15 ft

Step-by-step explanation:

A=LxW

135 ft2 =m X 9ft

Divide 135 by 9

& that equals 15ft.

To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.

A grandparent deposits $3,000 each year into an annuity that pays 8% interest. Find
the future value at the end of 10 years.

Answers

4590 because I honk the teacher o

4. write the following in standard form
four hundred, thirty - two thousand, six hundred eight

Answers

The answer is 432,608

Anyone want a BRAINLIEST, 60 POINTS?!?!? THEN PLZ HELP ME FIRST CORRECT ANSWER GETS BRAINLIEST


Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?



What is the rate of change of the equation from Part A?

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?



Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.

Answers

Answer:

Step-by-step explanation:

y=0.860x17+3.302

foot is 17.992 inches long

Unfortunately, I don't have access to your data so i can't give a solid answer. However, I can tell you that if your coefficeint (number before x) is greater than 0.86, you have a greater rate of change. If its smaller, its a lower rate of change.

Answer: 17.922

Step-by-step explanation:

What is this answer 5⁶ ÷ 5², please help.

Answers

5^ 6 is 15625
5^2 is 25
So you would take 15,625 and divide it by 25 you would get 625.

Therefore the answer is 625z

Please help brainiest will give you!

Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3


Thanks!!!!!!

Answers

Answer:

the answer is D

Step-by-step explanation:

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

Answer:

-1/3

Step-by-step explanation:

PLEASE HELP, WILL MARK BRAINLIESTTTTTT!! (one answer is cut out the last answer is •2x-1•

Answers

Answer:

x+1 x+4 2x +1

are th answer

1 A baseball is struck such that its position on a plane perpendicular to home plate can be described by the equation y = (x - 175)2 + 121, where x is the horizontal distance from the plate in feet and y is the vertical distance also in feet 250 Determine the position of the ball when it is at its highest point. ​

Answers

Answer:

21

Step-by-step explanation:

The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.

Answers

Answer:

(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}

Graph C represents the table of values

Step-by-step explanation:

To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.

Thus:

✔️When x = 20:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(20) [/tex]

[tex] y = 1.3 [/tex]

✔️When x = 40:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(40) [/tex]

[tex] y = 2.6 [/tex]

✔️When x = 60:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(60) [/tex]

[tex] y = 3.9 [/tex]

✔️When x = 80:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(80) [/tex]

[tex] y = 5.2 [/tex]

✔️When x = 100:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(100) [/tex]

[tex] y = 6.5 [/tex]

✔️The graph of that represents this table of values is graph C. See attachment.

George is buying gifts for his three sisters. He has $45 to spend and has a coupon for $12 off. Write an inequality to represent the amount he can spend.

Answers

Answer:

The inequality that represents how much George can spend is y ≤ $45 + $12, which gives y ≤ $57

Step-by-step explanation:

The given parameters are;

The amount George has to spend for his sisters = $45

The amount of coupon George has = $12

The inequality that represents how much George can spend, y, is given as follows

y ≤ $45 + $12.

(-4,6), (r,10) and m = -2. what is r?

Answers

Answer:

-6

Step-by-step explanation:

The formula of slope Y2-Y1/X2-X1

so you actually use this formula equal to -2

10-6/X-(-4) = -2

Find the two square roots of 4.

Answers

Answer:

2 and -2

Step-by-step explanation:

Answer:

the number 2

Help!! 10 pts and brainliest!

Answers

Answer:

25 times larger

Step-by-step explanation:

hope this helped

Answer: 5 times larger

Explanation:

B is a scaled copy of A with a scale factor of 5 which mean B is drawn 5 times larger than A

What types of investments are monitored with candlestick charts?
Candlestick charts graph the high, low, open, and
prices of

Answers

Answer:

Candlestick charts graph the high, low, open, and close prices of stocks

Answer:

close

stocks

.

Step-by-step explanation:

write the slope intercept form of the equation of each line​

Answers

the slope intercept form of the equation is, y= 1/5x+3

Answer:

y=1/5x+3

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.

Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)

Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5

Equation is: y=1/5x+3

If and θ is in quadrant IV, and .

Answers

Answer:

No hablo espanol

Step-by-step explanation:

Seriously what are you saying XD

find the slope of the line that passes through (10,6) and (2,11).​

Answers

Answer:

m=−5/8

Step-by-step explanation:

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