What is (10!)/((10-3)!3!) ?

The solution to (10!)/((10-3)!3!) is 120

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10!)/((10-3)!3!)

simplify

\frac{10 !}{( 10 - 3 ) ! 3 !}

120

Solution steps

\frac{10 !}{( 10 - 3 ) ! \cdot 3 !}

Subtract the numbers:

10 - 3 = 7

= \frac{10 !}{7 ! \cdot 3 !}

Cancel the factorials:

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

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

= \frac{10 \cdot 9 \cdot 8}{3 !}

\frac{10 \cdot 9 \cdot 8}{3 !} = 120

= 120

x^{2} + 3 x < 1 - x

- (\frac{4}{3})^{3}

5 x^{2} y - 20 y

\frac{2}{5}

12 \cdot x = 48