Evaluate (5!)/(4!(5-4)!)

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

Step 1

Subtract $4$ 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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