Evaluate (48!)/(3!*45!)

$\frac{48!}{3! \cdot 45!}$

Rewrite $48!$ as $48 \cdot 47 \cdot 46 \cdot 45!$ .

$\frac{48 \cdot 47 \cdot 46 \cdot 45!}{3! \cdot 45!}$

Cancel the common factor of $45!$ .

Tap for more steps…

Cancel the common factor.

$\frac{48 \cdot 47 \cdot 46 \cdot 45!}{3! \cdot 45!}$

Rewrite the expression.

$\frac{48 \cdot 47 \cdot 46}{3!}$

Simplify the numerator.

Tap for more steps…

Multiply $48$ by $47$ .

$\frac{2256 \cdot 46}{3!}$

Multiply $2256$ by $46$ .

$\frac{103776}{3!}$

Simplify the denominator.

Tap for more steps…

Expand $3!$ to $3 \cdot 2 \cdot 1$ .

$\frac{103776}{3 \cdot 2 \cdot 1}$

Simplify.

Tap for more steps…

Multiply $3$ by $2$ .

$\frac{103776}{6 \cdot 1}$

Multiply $6$ by $1$ .

$\frac{103776}{6}$

Divide $103776$ by $6$ .

$17296$

Evaluate (48!)/(3!*45!)

Download our
App from the store