What is (19!)/((19-4)!4!) ?

The solution to (19!)/((19-4)!4!) is 3876

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simplify (19!)/((19-4)!4!)

simplify

\frac{19 !}{( 19 - 4 ) ! 4 !}

3876

Solution steps

\frac{19 !}{( 19 - 4 ) ! \cdot 4 !}

Subtract the numbers:

19 - 4 = 15

= \frac{19 !}{15 ! \cdot 4 !}

Cancel the factorials:

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

\frac{19 !}{15 !} = 19 \cdot 18 \cdot 17 \cdot 16

= \frac{19 \cdot 18 \cdot 17 \cdot 16}{4 !}

\frac{19 \cdot 18 \cdot 17 \cdot 16}{4 !} = 3876

= 3876

5 < 3 y + 11 \leq 11

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(4 - 8 i) - (4 - 7 i)

2 x^{2} - 20 x + 32

x - 2 (- x + 9) = 0