Evaluate (7!)/(1!(7-1)!)

$\frac{7!}{1! (7 - 1)!}$

Subtract $1$ from $7$ .

$\frac{7!}{1! (6)!}$

Rewrite $7!$ as $7 \cdot 6!$ .

$\frac{7 \cdot 6!}{1! (6)!}$

Cancel the common factor of $6!$ .

Cancel the common factor.

$\frac{7 \cdot 6!}{1! (6)!}$

Rewrite the expression.

$\frac{7}{1!}$

$\frac{7}{1!}$

Expand $1!$ to $1$ .

$\frac{7}{1}$

Divide $7$ by $1$ .

$7$

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