What is (12!)/(6!(12-6)!) ?

The solution to (12!)/(6!(12-6)!) is 924

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simplify (12!)/(6!(12-6)!)

simplify

\frac{12 !}{6 ! ( 12 - 6 ) !}

924

Solution steps

\frac{12 !}{6 ! ( 12 - 6 ) !}

Subtract the numbers:

12 - 6 = 6

= \frac{12 !}{6 ! \cdot 6 !}

Cancel the factorials:

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

\frac{12 !}{6 !} = 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7

= \frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{6 !}

\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{6 !} = 924

= 924

x^{- \frac{5}{8}}

3 2^{\frac{1}{3}}

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