How do you evaluate $\frac{10!}{4!}$ $(10!)/(4!)$ ?

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Answer 1 · 2017-05-07T06:03:49

$\frac{10!}{4!} = 151, 200$ $(10!)/(4!) = 151,200$

By hand you need to know that $10! = 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4!$ $10! = 10 * 9 * 8 * 7 * 6 * 5 * 4!$

So $10! = (10 * 9 * 8 * 7 * 6 * 5 * cancel(4!))/(cancel(4!)) = 10 * 9 * 8 * 7 * 6 * 5 = 151,200$

A TI graphing calculator can do factorials:

$10 " MATH > PRB " 4 -: 4 " MATH > PRB " 4$ ENTER

$10! "/" 4! " " 151,200$

How do you evaluate (10!)/(4!)10!4!(10!)/(4!)?