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Pascal Triangle

Compute 8!6!×...

Question

Compute $\frac{8!}{6! \times 2!}$

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Solution

$∵ n! = n (n - 1) (n - 2) \dots 2 \cdot 1 = n (n - 1)!$

Now,
$\frac{8!}{6! \times 2!} = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1} = 28$

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Pascal Triangle

Standard XII Mathematics

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