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Popular >

simplify (10!)/5

Solution

simplify

\frac{10 !}{5}

Solution

725760

Solution steps

\frac{10 !}{5}

Apply factorial rule:

n! = 1 \cdot 2 \cdot 3 \cdot \dots \cdot n

10! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10

= \frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10}{5}

Divide the numbers:

\frac{5}{5} = 1

= 1 \cdot 2 \cdot 3 \cdot 4 \cdot 1 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10

Multiply the numbers:

1 \cdot 2 \cdot 3 \cdot 4 \cdot 1 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10 = 725760

= 725760

Popular Examples

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3(5x+7)^2-24=-12

3 (5 x + 7)^{2} - 24 = - 12

4 a^{2} - 20 a + 25 = 0

factor 6x^2+37x+6 factor

6 x^{2} + 37 x + 6

Frequently Asked Questions (FAQ)

What is (10!)/5 ?
The solution to (10!)/5 is 725760