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Chapter 5: Q 5.160. (page 242)

Evaluate the following binomial coefficients.

a.32b.60c.66d.73

Short Answer

Expert verified

Part (a) 3

Part (b) 1

Part (c) 1

Part (d) 35

Step by step solution

01

Part (a) Step 1. Given information.

The given binomial coefficient is:

32

02

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

32=3!2!脳3-2!=3!2!脳1!=3

03

Part (b) Step 1. Evaluate the binomial coefficient 60.

60=6!0!脳6-0!=6!0!脳6!=1

04

Part (c) Step 1. Evaluate the binomial coefficient 66.

66=6!6!脳6-6!=6!6!脳0!=1

05

Part (d) Step 1. Evaluate the binomial coefficient 73.

73=7!3!脳7-3!=7!3!脳4!=7脳6脳51脳2脳3=35

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