en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (13!)/(8!5!)

Solution

simplify

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

Solution

1287

Solution steps

\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

Popular Examples

factor 2x^2+128 factor

2 x^{2} + 128

factor 2x+10 factor

2 x + 10

factor x^4+26x^2+25 factor

x^{4} + 26 x^{2} + 25

simplify log_{2}(34)simplify

lo g_{2} (34)

factor 2x^2-2x^3 factor

2 x^{2} - 2 x^{3}

Frequently Asked Questions (FAQ)

What is (13!)/(8!5!) ?
The solution to (13!)/(8!5!) is 1287