   Chapter 13.6, Problem 24E ### 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

# SKILLS17-24 ■ Calculating Binomial Coefficients Evaluate the expression. ( 5 0 ) − ( 5 1 ) + ( 5 2 ) − ( 5 3 ) + ( 5 4 ) − ( 5 5 )

To determine

To find:

The value of the expression (50)(51)+(52)(53)+(54)(55).

Explanation

Approach:

If n and k are two non negative integers with kn, then binomial coefficient is denoted by (nk) and defined by the formula (nk)=n!k!(nk)!. Also (nk)=(nnk).

Calculation:

Substitute the value of n and k in binomial coefficients as follows,

So, (50)=(55)

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