   Chapter 13.CR, Problem 74E ### 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 6 ■ Binomial Coefficients Evaluate the expression. ( 10 2 ) + ( 10 6 )

To determine

To find:

The value of the expression (102)+(106).

Explanation

Given:

The expression is,

(102)+(106)

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,

(102)+(106)=10!2!(102)!+10!6!(106)!=10!2!8!+10!

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