simplify (15!)/(9!)

Solution

simplify

\frac{15 !}{9 !}

3603600

Solution steps

\frac{15 !}{9 !}

Cancel the factorials:

\frac{n !}{( n - m ) !} = n \cdot (n - 1) \dots (n - m + 1), n > m

\frac{15 !}{9 !} = 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10

= 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10

Multiply the numbers:

15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 = 3603600

= 3603600

\frac{6}{5} \times 4

(2^{3} \times 3^{2} \times 5^{- 2})^{2}

\frac{π}{4}

(- 3 e^{- 3 x})^{2}

9 b^{2} - 100