What is (16!)/(1!(16-1)!) ?

The solution to (16!)/(1!(16-1)!) is 16

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simplify (16!)/(1!(16-1)!)

simplify

\frac{16 !}{1 ! ( 16 - 1 ) !}

16

Solution steps

\frac{16 !}{1 ! ( 16 - 1 ) !}

Subtract the numbers:

16 - 1 = 15

= \frac{16 !}{1 ! \cdot 15 !}

Cancel the factorials:

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

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

= \frac{16}{1 !}

\frac{16}{1 !} = 16

= 16

r^{2} + 4 r = 0

- 4 m + 2 = 7 m - 64

\frac{1}{4} + \frac{2}{7}

\frac{8 x y ^{3}}{- 4 x y ^{2}}

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