Precalculus
9th Edition
ISBN: 9780321716835
Author: Michael Sullivan
Publisher: Addison Wesley
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Chapter 13.2, Problem 2AYU
To determine
To calculate: The binomial coefficient of (64) equals from the given choices.
6!4!(b) 6!4!⋅2!(c) 6!2!(d) (6−4)!2!
Expert Solution & Answer
Answer to Problem 2AYU
Solution:
The binomial coefficient of (64) equals 6!4!⋅2!
Explanation of Solution
Given information:
The binomial is (64) and the choices are
6!4!(b) 6!4!⋅2!(c) 6!2!(d) (6−4)!2!
Formula used:
The formula for (nr) is (nr)=n!(n−r)!⋅r!
Calculation:
Comparing (nr) with (64), n=6 and r=4,
(nr)=(6r)=6!(6−4)!⋅4!
⇒(6r)=6!2!⋅4!
So, the binomial (64) equals 6!4!⋅2!.
Chapter 13 Solutions
Precalculus
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