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Popular >

simplify (5!)/(4!(5-4)!)

Solution

simplify

\frac{5 !}{4 ! ( 5 - 4 ) !}

Solution

5

Solution steps

\frac{5 !}{4 ! ( 5 - 4 ) !}

Subtract the numbers:

5 - 4 = 1

= \frac{5 !}{4 ! \cdot 1 !}

Cancel the factorials:

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

\frac{5 !}{4 !} = 5

= \frac{5}{1 !}

\frac{5}{1 !} = 5

= 5

Popular Examples

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(4 x + 20) + (5 x + 16) + (x) = 180

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- 2 x - 2 (3 x - 4) = 2 (3 x - 4) + 2 x

x^2+0.000001947x-7.665*10^{-9}=0

x^{2} + 0.000001947 x - 7.665 \cdot 1 0^{- 9} = 0

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Frequently Asked Questions (FAQ)

What is (5!)/(4!(5-4)!) ?
The solution to (5!)/(4!(5-4)!) is 5