What is (10!)/((10-4)!4!) ?

The solution to (10!)/((10-4)!4!) is 210

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10!)/((10-4)!4!)

simplify

\frac{10 !}{( 10 - 4 ) ! 4 !}

210

Solution steps

\frac{10 !}{( 10 - 4 ) ! \cdot 4 !}

Subtract the numbers:

10 - 4 = 6

= \frac{10 !}{6 ! \cdot 4 !}

Cancel the factorials:

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

\frac{10 !}{6 !} = 10 \cdot 9 \cdot 8 \cdot 7

= \frac{10 \cdot 9 \cdot 8 \cdot 7}{4 !}

\frac{10 \cdot 9 \cdot 8 \cdot 7}{4 !} = 210

= 210

- 30 < \frac{x}{- 4}

\frac{1}{4} + (2 z - \frac{3 z - 1}{8}) = \frac{2}{3} (\frac{z + 2}{6}) - 2 z

\frac{3 x - 6}{9} = \frac{36}{5}

7 \cdot 8

n^{2} - 144