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Popular >

simplify (9!)/((9-3)!3!)

Solution

simplify

\frac{9 !}{( 9 - 3 ) ! 3 !}

Solution

84

Solution steps

\frac{9 !}{( 9 - 3 ) ! \cdot 3 !}

Subtract the numbers:

9 - 3 = 6

= \frac{9 !}{6 ! \cdot 3 !}

Cancel the factorials:

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

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

= \frac{9 \cdot 8 \cdot 7}{3 !}

\frac{9 \cdot 8 \cdot 7}{3 !} = 84

= 84

Popular Examples

x=(3+sqrt(8))/(3-sqrt(8))

x = \frac{3 + 8}{3 - 8}

- 33 = - \frac{w}{9}

simplify (0.03)^4 simplify

(0.03)^{4}

simplify (12!)/((12-7)!7!)simplify

\frac{12 !}{( 12 - 7 ) ! 7 !}

\frac{1}{2} = \frac{p}{4}

Frequently Asked Questions (FAQ)

What is (9!)/((9-3)!3!) ?
The solution to (9!)/((9-3)!3!) is 84