A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer 1

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen


Related Questions

Add:
3 + 6 =
6 + (-4) =

Answers

Answer:

3 + 6 = 9

6 + (-4) = 2

Step-by-step explanation:

Answer:

9 and 2

Step-by-step explanation:

3 + 6 =

9

6 + (-4) =

6-4=

2

is 0.03 greater than 0.5

Answers

Answer:

no

Step-by-step explanation:

the sum of two the digits of two number digits is 11 if 45 os subtracted from the number the digits number will be reversed find the number​

Answers

Answer:

11 and 45=34

Step-by-step explanation:

dsnsnafsysjsbdfysjqbscs hi sweets

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

15,614+?=68,025
What is the total

Answers

Answer:

52411 that's the answer

d(t) = 50t
The variable t represents?

Answers

Answer:

Time

Step-by-step explanation:

d(t) basically means "distance of time"

Given the equation 5(-2x -10) = 25(x + 1), solve for the value of x that will make the equation true.

Answers

Answer:

Step-by-step explanation:

5(-2x -10) = 25(x + 1)

-10x - 50 = 25x + 25

by transposing

-10x - 25x = 25 + 50

-35x = 75

x = -75/35

x = 15/7

or 2.142857..... in decimal

Hope this helps

plz mark as brainliest!!!!!!!

can you please help me ​

Answers

Yes but there is no photo

Answer:

What would you like help on?

Step-by-step explanation:

Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours

Answers

Answer:

17

Step-by-step explanation:

3 1/2+3 1/2=5 which is 40 min

5=40mins

5+3 1/2=81/2

1 hour=8 1/12

8 1/2+8 1/2= 17

17 in two hours

Please help, I’ve been stuck

Answers

I think the answer is B
I am not sure but I think it’s B

escribe el número igaul a 5 decenas y 13 unidades​

Answers

Answer:

63

Step-by-step explanation:

How much of the pumpkin bread does edgar get in all find the quotient.
3 ÷ 5=??

Answers

Answer:

hi i am doing that i ready lesson right now the answer is 3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

4/15 ÷ 10/13 pls help me​

Answers

Answer: 26/75

(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)

= (4/15) · (13/10) (Cancel out the common factor of 2)

= (2/15) · (13/5) (Multiply the numerators together and denominators together)

= 26/75

2,76,212+2628 = ______ +2,76,212​

Answers

Answer:

555052

Step-by-step explanation:

The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War

Answers

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

Pls help I don’t know how to do this.

Answers

Answer:

If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27

translation: 3 units left and 5 units down

Answers

( -3,-5) would be it dotted on a coordinate plane

13=b 5=c what is the length of the missing leg

Answers

Answer:

The length of the missing leg is 12

Step-by-step explanation:

Right Triangles

A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.

Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:

[tex]a^2+c^2=b^2[/tex]

We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:

[tex]a^2=b^2-c^2[/tex]

Substituting:

[tex]a^2=13^2-5^2[/tex]

[tex]a^2=169-25=144[/tex]

Solving:

[tex]a=\sqrt{144}=12[/tex]

The length of the missing leg is 12

Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.  It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.  It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

-9|-x+5|=0
Solve for x.

Answers

Answer:

x=5

Step-by-step explanation:

-9|-x+5|=0

Divide by -9

|-x+5|=0

The are normally two solutions, one positive and one negative, but +0=-0=0

-x+5 =0

Add x to each side

-x+5+x =0+x

5 =x

please help!!!!!!!!!!!!! will give brainliest.

Answers

Answer:

x<9 and x>1/13

1/13<x<9

Step-by-step explanation:

First, let's find the value of x in the first equation:

6((x-1)/2-(x-3)/3)<2*6

(3x-3)-(2x-6)<12

3x-3-2x+6<12

x+3<12

x<9

Now, let's find the value of x in the second equation:

13x-1>0

13x>1

x>1/13

Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

rx:
x – 6 = -3x + 22

Answers

Answer:

X= 7

Step-by-step explanation:

X + 3x = 22 + 6
4x = 28
X = 7

where does 17 lie between

Answers

Between 16 and 18. Hope this helps

ANSWER NOW THE WORLD iS AT STAKE
2x + 8 > − 4


Translate the inequality into written language.
Find the solution set of
x
and describe how you would graph it on a number line.

Answers

Answer:

x>-6

Step-by-step explanation:

2x+8>-4

-8      -8

2x>-12

2x/2 > -12/2

x>-6

the open circle is going the way the symbol is going on the graph, which is >.

Answer:

x>-6

Step-by-step explanation:

I will mark who ever right brainliest

Answers

Answer: answer is 155

Step-by-step explanation:

the answer is 2) $155

Write an equation to find the nth term of each sequence.
7, 13, 19, 25....

Answers

Answer:

6n+1

Step-by-step explanation:

n=term#

write model expression to show how much longer the round-trip to san diego is than the round trip to san jose. how many term does the expression have

Answers

Answer:

Product of 6 and a number. y÷9.

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Please answer these giving brainliest to the first right person. 20 points.

Answers

Answer:

31.x>2

32.x<-2

33.x<5

34.x>0

Step-by-step explanation:

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