What is (11!)/(4!(11-4)!) ?

The solution to (11!)/(4!(11-4)!) is 330

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simplify (11!)/(4!(11-4)!)

simplify

\frac{11 !}{4 ! ( 11 - 4 ) !}

330

Solution steps

\frac{11 !}{4 ! ( 11 - 4 ) !}

Subtract the numbers:

11 - 4 = 7

= \frac{11 !}{4 ! \cdot 7 !}

Cancel the factorials:

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

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

= \frac{11 \cdot 10 \cdot 9 \cdot 8}{4 !}

\frac{11 \cdot 10 \cdot 9 \cdot 8}{4 !} = 330

= 330

3 (3 - 1) + 3 [1 + 2 (2)] - 2 (4 - 1) (2 + 1)

(2 x^{2} + 4) + (3 x^{3} + 3)

25 y^{2} x^{2} + 40 y x^{2} + 16 x^{2}

124 = 4 (1 - 5 x)

\frac{- 10}{3} = 2 x - x^{2}