en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10!)/(4!*6!)

Solution

simplify

\frac{10 !}{4 ! \cdot 6 !}

Solution

210

Solution steps

\frac{10 !}{4 ! \cdot 6 !}

Cancel the factorials:

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

\frac{10 !}{6 !} = 10 \cdot 9 \cdot 8 \cdot 7

= \frac{10 \cdot 9 \cdot 8 \cdot 7}{4 !}

\frac{10 \cdot 9 \cdot 8 \cdot 7}{4 !} = 210

= 210

Popular Examples

simplify 8\times 1/2 simplify

8 \times \frac{1}{2}

simplify sqrt(w^{20)}simplify

w^{20}

simplify (4^{-1}x^{-2})/(4x^2)simplify

\frac{4 ^{- 1} x ^{- 2}}{4 x ^{2}}

simplify 4x-23y+(4x-4(3y-4x)-3y)-4x-3y simplify

4 x - 23 y + (4 x - 4 (3 y - 4 x) - 3 y) - 4 x - 3 y

2 \frac{1}{2} \div \frac{2}{3}

Frequently Asked Questions (FAQ)

What is (10!)/(4!*6!) ?
The solution to (10!)/(4!*6!) is 210