What is (15!)/(2!(15-2)!) ?

The solution to (15!)/(2!(15-2)!) is 105

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simplify (15!)/(2!(15-2)!)

simplify

\frac{15 !}{2 ! ( 15 - 2 ) !}

105

Solution steps

\frac{15 !}{2 ! ( 15 - 2 ) !}

Subtract the numbers:

15 - 2 = 13

= \frac{15 !}{2 ! \cdot 13 !}

Cancel the factorials:

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

\frac{15 !}{13 !} = 15 \cdot 14

= \frac{15 \cdot 14}{2 !}

\frac{15 \cdot 14}{2 !} = 105

= 105

\frac{8}{3} + \frac{1}{4}

\frac{2}{9} \times 2

\frac{- 3 x + 1}{x + 1} - \frac{5 x + 1}{x ^{2} + x}

\frac{1}{3} + 8

78 \div 13