What is (12!)/((12-4)!4!) ?

The solution to (12!)/((12-4)!4!) is 495

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simplify (12!)/((12-4)!4!)

simplify

\frac{12 !}{( 12 - 4 ) ! 4 !}

495

Solution steps

\frac{12 !}{( 12 - 4 ) ! \cdot 4 !}

Subtract the numbers:

12 - 4 = 8

= \frac{12 !}{8 ! \cdot 4 !}

Cancel the factorials:

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

\frac{12 !}{8 !} = 12 \cdot 11 \cdot 10 \cdot 9

= \frac{12 \cdot 11 \cdot 10 \cdot 9}{4 !}

\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 !} = 495

= 495

x^{3} - 3 x^{2}

\frac{3 ^{- 2} a ^{0}}{b ^{- 2}}

x + 4 \geq \frac{1}{2} (x - 3)

\frac{n}{n + 1} - 1

3 x \leq 20 - 2 x^{2}