What is (15!)/((15-4)!4!) ?

The solution to (15!)/((15-4)!4!) is 1365

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (15!)/((15-4)!4!)

simplify

\frac{15 !}{( 15 - 4 ) ! 4 !}

1365

Solution steps

\frac{15 !}{( 15 - 4 ) ! \cdot 4 !}

Subtract the numbers:

15 - 4 = 11

= \frac{15 !}{11 ! \cdot 4 !}

Cancel the factorials:

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

\frac{15 !}{11 !} = 15 \cdot 14 \cdot 13 \cdot 12

= \frac{15 \cdot 14 \cdot 13 \cdot 12}{4 !}

\frac{15 \cdot 14 \cdot 13 \cdot 12}{4 !} = 1365

= 1365

15 x^{2} + 27 x - 6

0.8 k + 7 = - 0.7 k + 1

x^{3} - 6 x^{2} - 5 x + 30

x^{2} - 5 x - 6 = 0

\frac{5 !}{( 5 - 0 ) ! 0 !}