What is (11!)/((11-6)!6!) ?

The solution to (11!)/((11-6)!6!) is 462

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simplify (11!)/((11-6)!6!)

simplify

\frac{11 !}{( 11 - 6 ) ! 6 !}

462

Solution steps

\frac{11 !}{( 11 - 6 ) ! \cdot 6 !}

Subtract the numbers:

11 - 6 = 5

= \frac{11 !}{5 ! \cdot 6 !}

Cancel the factorials:

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

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

= \frac{11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{5 !}

\frac{11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{5 !} = 462

= 462

- x^{2} + 4 > 0

(a^{- 4})^{2}

7 = 3 y + 1

8 a^{6} + 27 b^{9}

(4 a^{\frac{3}{2}}) (2 a^{\frac{1}{2}})