What is (12!)/((12-3)!*3!) ?

The solution to (12!)/((12-3)!*3!) is 220

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (12!)/((12-3)!*3!)

simplify

\frac{12 !}{( 12 - 3 ) ! \cdot 3 !}

220

Solution steps

\frac{12 !}{( 12 - 3 ) ! \cdot 3 !}

Subtract the numbers:

12 - 3 = 9

= \frac{12 !}{9 ! \cdot 3 !}

Cancel the factorials:

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

\frac{12 !}{9 !} = 12 \cdot 11 \cdot 10

= \frac{12 \cdot 11 \cdot 10}{3 !}

\frac{12 \cdot 11 \cdot 10}{3 !} = 220

= 220

- 12 d \geq - 6

lo g_{2} (8) = x

2 (1)^{\frac{3}{2}}

\frac{7}{8} - \frac{1}{5}

(- \frac{5}{7})^{- 3}