Evaluate (6!)/((6-1)!1!)

$\frac{6!}{(6 - 1)! 1!}$

Step 1

Subtract $1$ from $6$ .

$\frac{6!}{(5)! 1!}$

Step 2

Rewrite $6!$ as $6 \cdot 5!$ .

$\frac{6 \cdot 5!}{(5)! 1!}$

Step 3

Cancel the common factor of $5!$ .

Cancel the common factor.

$\frac{6 \cdot 5!}{(5)! 1!}$

Rewrite the expression.

$\frac{6}{1!}$

$\frac{6}{1!}$

Step 4

Expand $1!$ to $1$ .

$\frac{6}{1}$

Step 5

Divide $6$ by $1$ .

$6$

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