   Chapter 13.CR, Problem 75E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 7 3 − 7 8 ■ Binomial Coefficients Evaluate the expression. ∑ k = 0 5 ( 5 k )

To determine

To find:

The expression.

Explanation

Given:

The expression is,

k=05(5k)

Approach:

Let n and r be positive integers such that rn.

The binomial coefficient is expressed as,

(nr)

And its formula is given by,

(nr)=n!r!(nr)!(1)

Calculation:

Use equation (1) to compute the following,

k=05(5k)=(50)+(51)+(52)+(53)+(54)+(55)=5!0!(50)!+5!1!(51)!+5!2!(52)!+5!3!(53)!+5!4!(54)!+5!5!(55)!<

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