Find the indicated expression, where n = 7, r = 5. (Simplify the answer as much as possible.)n!/(n-r)!r!

Danizmax asked Sep 1, 2023

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Danizmax asked Sep 1, 2023

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11 votes

Given:

n = 7, r =5

We are required to evaluate the expression:

Substituting we have:

$=\text{ }(7!)/((7-5)!5!)$

Now let's simplify:

$\begin{gathered} =\text{ }(7*6*5!)/(2!*5!) \\ =\text{ 7 }*\text{ 3} \\ =\text{ 21} \end{gathered}$

Answer: 21

Roehrijn answered Sep 8, 2023

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