What is (8!4!)/(7!6!) ?

The solution to (8!4!)/(7!6!) is 4/15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8!4!)/(7!6!)

simplify

\frac{8 ! 4 !}{7 ! 6 !}

\frac{4}{15}

Decimal Notation

0.26666 \dots

Solution steps

\frac{8 ! \cdot 4 !}{7 ! \cdot 6 !}

Cancel the factorials:

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

\frac{8 !}{7 !} = 8

= \frac{8 \cdot 4 !}{6 !}

Cancel the factorials:

\frac{n !}{( n + m ) !} = \frac{1}{( n + 1 ) \cdot ( n + 2 ) \dots ( n + m )}

\frac{4 !}{6 !} = \frac{1}{5 \cdot 6}

= \frac{8}{5 \cdot 6}

Cancel

\frac{8}{5 \cdot 6} : \frac{4}{5 \cdot 3}

= \frac{4}{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{4}{15}

(x - 4)^{2} = - 5

57 - 7 x > 3 x - 2

x + 3 = - 6

b^{3} - 27

h^{2} + 9 h + 14