What is (8!2!)/(6!4!) ?

The solution to (8!2!)/(6!4!) is 14/3

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simplify (8!2!)/(6!4!)

simplify

\frac{8 ! 2 !}{6 ! 4 !}

\frac{14}{3}

Solution steps

\frac{8 ! \cdot 2 !}{6 ! \cdot 4 !}

Cancel the factorials:

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

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

= \frac{8 \cdot 7 \cdot 2 !}{4 !}

Cancel the factorials:

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

\frac{2 !}{4 !} = \frac{1}{3 \cdot 4}

= \frac{8 \cdot 7}{3 \cdot 4}

Cancel

\frac{8 \cdot 7}{3 \cdot 4} : \frac{2 \cdot 7}{3}

= \frac{2 \cdot 7}{3}

Multiply the numbers:

2 \cdot 7 = 14

= \frac{14}{3}

m^{2} - 144 = 0

\frac{2 ^{2}}{2 ^{2}}

lo g_{10} (0.2)

a^{2} - 2 a = 8