What is (16!)/(2!(16-2)!) ?

The solution to (16!)/(2!(16-2)!) is 120

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simplify (16!)/(2!(16-2)!)

simplify

\frac{16 !}{2 ! ( 16 - 2 ) !}

120

Solution steps

\frac{16 !}{2 ! ( 16 - 2 ) !}

Subtract the numbers:

16 - 2 = 14

= \frac{16 !}{2 ! \cdot 14 !}

Cancel the factorials:

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

\frac{16 !}{14 !} = 16 \cdot 15

= \frac{16 \cdot 15}{2 !}

\frac{16 \cdot 15}{2 !} = 120

= 120

\frac{3 ^{2} \cdot 3 ^{8}}{3 ^{2} \div 3 ^{5}}

x^{3} + 6 x^{2} - 10 x - 60

1 4^{2} + x^{2} = 2 0^{2}

\frac{3}{x + 2} - \frac{5}{x + 9} \geq - 1

- 2 \cdot - 6