Evaluate (5!2!)/(6!4!)

$\frac{5! 2!}{6! 4!}$

Step 1

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

$\frac{5! 2!}{6 \cdot 5! 4!}$

Step 2

Cancel the common factor of $5!$ .

Cancel the common factor.

$\frac{5! 2!}{6 \cdot 5! 4!}$

Rewrite the expression.

$\frac{2!}{64!}$

$\frac{2!}{64!}$

Step 3

Rewrite $4!$ as $4 \cdot 3 \cdot 2!$ .

$\frac{2!}{6 (4 \cdot 3 \cdot 2!)}$

Step 4

Cancel the common factor of $2!$ .

Cancel the common factor.

$\frac{2!}{6 (4 \cdot 3 \cdot 2!)}$

Rewrite the expression.

$\frac{1}{6 (4 \cdot 3)}$

$\frac{1}{6 (4 \cdot 3)}$

Step 5

Simplify the denominator.

Multiply $6$ by $4$ .

$\frac{1}{24 \cdot 3}$

Multiply $24$ by $3$ .

$\frac{1}{72}$

$\frac{1}{72}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{72}$

Decimal Form:

$0.013\overline{8}$

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