What is (13!)/((13-4)3!) ?

The solution to (13!)/((13-4)3!) is 115315200

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (13!)/((13-4)3!)

simplify

\frac{13 !}{( 13 - 4 ) 3 !}

115315200

Solution steps

\frac{13 !}{( 13 - 4 ) \cdot 3 !}

Subtract the numbers:

13 - 4 = 9

= \frac{13 !}{9 \cdot 3 !}

Cancel the factorials:

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

\frac{13 !}{3 !} = 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4

= \frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4}{9}

Cancel the common factor:

9

= 13 \cdot 12 \cdot 11 \cdot 10 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4

Multiply the numbers:

13 \cdot 12 \cdot 11 \cdot 10 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 = 115315200

= 115315200

4 ∣ 6 + 2 s ∣ - 27 \leq - 3

\frac{1}{x} < 4

8 (- 2 x - 4) + 12 = - 52

\frac{1}{4} x + 7 \leq \frac{1}{3} - 2

5 a - 1 = 14