What is (12!)/((12-3)!) ?

The solution to (12!)/((12-3)!) is 1320

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simplify (12!)/((12-3)!)

simplify

\frac{12 !}{( 12 - 3 ) !}

1320

Solution steps

\frac{12 !}{( 12 - 3 ) !}

Cancel the factorials:

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

\frac{12 !}{( 12 - 3 ) !} = 12 \cdot 11 \cdot 10

= 12 \cdot 11 \cdot 10

Multiply the numbers:

12 \cdot 11 \cdot 10 = 1320

= 1320

2 \cdot 32

- 4 x^{2} + 11 x + 3

\frac{x - 1}{x - 5} < 1

18 = x + 9

4 c^{2} - 21 c + 5