What is (4!6!)/(5!3!) ?

The solution to (4!6!)/(5!3!) is 24

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simplify (4!6!)/(5!3!)

simplify

\frac{4 ! 6 !}{5 ! 3 !}

24

Solution steps

\frac{4 ! \cdot 6 !}{5 ! \cdot 3 !}

Cancel the factorials:

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

\frac{4 !}{5 !} = \frac{1}{5}

= \frac{6 !}{5 \cdot 3 !}

Cancel the factorials:

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

\frac{6 !}{3 !} = 6 \cdot 5 \cdot 4

= \frac{6 \cdot 5 \cdot 4}{5}

Cancel the common factor:

5

= 6 \cdot 4

Multiply the numbers:

6 \cdot 4 = 24

= 24

x^{2} y^{3} + x^{5} y^{4}

x^{4} - 64

3 x + 9 + 4 x + x = 8 x + 4

(x + 4) (x + 4)