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Algebra of Derivatives

The value of ...

Question

The value of ${^{n} P}_{0}$ is _______.

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Solution

We know that:
$^{n} P_{r} = \frac{n!}{(n - r)!}$
$∵ r = 0$

$∴^{n} P_{0} = \frac{n!}{(n - 0)!} = \frac{n!}{n!} = 1$

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