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How to evaluate 8P7?

1 Answer

Aug 11, 2017

$40320$ $40320$

Explanation:

${using the definition of}^{n} P_{r} = \frac{n!}{(n - r)!}$ $"using the definition of "^nP_r=(n!)/((n-r)!)$

$"where "n! =n(n-1)(n-2)...... xx1$

$rArr^8P_7=(8!)/(1!)$

$color(white)(xxxxx)=(8xx7xx6xx5xx4xx3xx2)/1$

$color(white)(xxxxx)=40320$

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