en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4!5!)/(2!7!)

Solution

simplify

\frac{4 ! 5 !}{2 ! 7 !}

Solution

\frac{2}{7}

+1

Decimal Notation

0.28571 \dots

Solution steps

\frac{4 ! \cdot 5 !}{2 ! \cdot 7 !}

Cancel the factorials:

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

\frac{4 !}{2 !} = 4 \cdot 3

= \frac{4 \cdot 3 \cdot 5 !}{7 !}

Cancel the factorials:

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

\frac{5 !}{7 !} = \frac{1}{6 \cdot 7}

= \frac{4 \cdot 3}{6 \cdot 7}

Cancel

\frac{4 \cdot 3}{6 \cdot 7} : \frac{2}{7}

= \frac{2}{7}

Popular Examples

simplify sqrt(720)simplify

720

simplify (8+i)/(8-i)simplify

\frac{8 + i}{8 - i}

factor 21x^2+41x+10 factor

21 x^{2} + 41 x + 10

simplify ((1+2i))/((3-4i))simplify

\frac{( 1 + 2 i )}{( 3 - 4 i )}

simplify (2/3)/(1/2)simplify

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

Frequently Asked Questions (FAQ)

What is (4!5!)/(2!7!) ?
The solution to (4!5!)/(2!7!) is 2/7