Evaluate (5!)/((5-1)!1!)

$\frac{5!}{(5 - 1)! 1!}$

Step 1

Subtract $1$ from $5$ .

$\frac{5!}{(4)! 1!}$

Step 2

Rewrite $5!$ as $5 \cdot 4!$ .

$\frac{5 \cdot 4!}{(4)! 1!}$

Step 3

Cancel the common factor of $4!$ .

Cancel the common factor.

$\frac{5 \cdot 4!}{(4)! 1!}$

Rewrite the expression.

$\frac{5}{1!}$

$\frac{5}{1!}$

Step 4

Expand $1!$ to $1$ .

$\frac{5}{1}$

Step 5

Divide $5$ by $1$ .

$5$

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