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Chapter 5: Q 5.161. (page 242)

Evaluate the following binomial coefficients.

a.41b.62c.83d.96

Short Answer

Expert verified

Part (a) 4

Part (b) 15

Part (c) 56

Part (d) 84

Step by step solution

01

Part (a) Step 1. Given information.

The given binomial coefficient is:

41

02

Part (a) Step 2. Evaluate the binomial coefficient.

41=4!1!脳4-1!=4!1!脳3!=41=4

03

Part (b) Step 1. Evaluate the binomial coefficient 62.

62=6!2!脳6-2!=6!2!脳4!=6脳51脳2=15

04

Part (c) Step 1. Evaluate the binomial coefficient 83.

83=8!3!脳8-3!=8!3!脳5!=8脳7脳61脳2脳3=56

05

Part (d) Step 1. Evaluate the binomial coefficient 96.

96=9!6!脳9-6!=9!6!脳3!=9脳8脳71脳2脳3=84

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Most popular questions from this chapter

U.S. Governors. In 2013, according to the National Governors Association, 30 of the 50 state governors were Republicans. Suppose that on each day of 2013, one U.S. state governor was randomly selected to read the invocation on a popular radio program. On approximately how many of those days should we expect that a Republican was chosen?

Name three common discrete probability distributions other than the binomial distribution.

Constract a venn diagram representing the event.

Part. (a) (not E).

Part. (b) (A or B)

Regarding the equal-likelihood model.

(a) what is it?

(b) how are probabilities computed?

Determine0!,3!,4!,and7!.
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