What is (13!)/((13-5)!5!) ?

The solution to (13!)/((13-5)!5!) is 1287

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (13!)/((13-5)!5!)

simplify

\frac{13 !}{( 13 - 5 ) ! 5 !}

1287

Solution steps

\frac{13 !}{( 13 - 5 ) ! \cdot 5 !}

Subtract the numbers:

13 - 5 = 8

= \frac{13 !}{8 ! \cdot 5 !}

Cancel the factorials:

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

\frac{13 !}{8 !} = 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9

= \frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9}{5 !}

\frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9}{5 !} = 1287

= 1287

\frac{x + 2}{6} = \frac{2 x - 10}{8} 5360

8 z + 7 < 3 z - 4

\frac{1}{5 a - 5} \cdot \frac{a ^{2} + 2 a - 63}{a + 9}

3 + 16 J = 16 J + 3

29