What is (13!)/(2!(13-2)!) ?

The solution to (13!)/(2!(13-2)!) is 78

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simplify (13!)/(2!(13-2)!)

simplify

\frac{13 !}{2 ! ( 13 - 2 ) !}

78

Solution steps

\frac{13 !}{2 ! ( 13 - 2 ) !}

Subtract the numbers:

13 - 2 = 11

= \frac{13 !}{2 ! \cdot 11 !}

Cancel the factorials:

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

\frac{13 !}{11 !} = 13 \cdot 12

= \frac{13 \cdot 12}{2 !}

\frac{13 \cdot 12}{2 !} = 78

= 78

x^{2} - 11 x y - 12 y^{2}

800 a^{3} + 2400 a^{2} + 2400 a + 800

∣ 7 x - 5 ∣ = - 9

12 (x - 2) = - 4 (x + 10)

12 p^{2} - 16 p + 3 pq - 4 q