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Popular >

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

Solution

simplify

\frac{12 !}{6 ! 6 !}

Solution

924

Solution steps

\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

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Frequently Asked Questions (FAQ)

What is (12!)/(6!6!) ?
The solution to (12!)/(6!6!) is 924