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Popular >

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

Solution

simplify

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

Solution

120

Solution steps

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

Cancel the factorials:

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

\frac{5 !}{( 5 - 4 ) !} = 5 \cdot 4 \cdot 3 \cdot 2

= 5 \cdot 4 \cdot 3 \cdot 2

Multiply the numbers:

5 \cdot 4 \cdot 3 \cdot 2 = 120

= 120

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Frequently Asked Questions (FAQ)

What is (5!)/((5-4)!) ?
The solution to (5!)/((5-4)!) is 120