What is (11!)/(10!(11-10)!) ?

The solution to (11!)/(10!(11-10)!) is 11

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simplify (11!)/(10!(11-10)!)

simplify

\frac{11 !}{10 ! ( 11 - 10 ) !}

11

Solution steps

\frac{11 !}{10 ! ( 11 - 10 ) !}

Subtract the numbers:

11 - 10 = 1

= \frac{11 !}{10 ! \cdot 1 !}

Cancel the factorials:

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

\frac{11 !}{10 !} = 11

= \frac{11}{1 !}

\frac{11}{1 !} = 11

= 11

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