en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (11!)/(4!4!2!)

Solution

simplify

\frac{11 !}{4 ! 4 ! 2 !}

Solution

34650

Solution steps

\frac{11 !}{4 ! \cdot 4 ! \cdot 2 !}

Apply exponent rule:

aa = a^{2}

4! \cdot 4! = 4!^{2}

= \frac{11 !}{4 ! ^{2} \cdot 2 !}

Cancel the factorials:

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

\frac{11 !}{2 !} = 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3

= \frac{11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3}{4 ! ^{2}}

\frac{11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3}{4 ! ^{2}} = 34650

= 34650

Popular Examples

expand (t-2)h(t-5)expand

(t - 2) h (t - 5)

simplify (2+3i)+(5-4i)simplify

(2 + 3 i) + (5 - 4 i)

simplify 15-2(4+7a)+5a simplify

15 - 2 (4 + 7 a) + 5 a

simplify-sqrt(900x^2)simplify

- 900 x^{2}

simplify 6/5-2/3 simplify

\frac{6}{5} - \frac{2}{3}

Frequently Asked Questions (FAQ)

What is (11!)/(4!4!2!) ?
The solution to (11!)/(4!4!2!) is 34650