Find the value of $^{12} P_{4}$

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Solution

$^{12} P_{4}^{n} P_{4} = \frac{n!}{(n - r)!} \Rightarrow^{12} P_{4} = \frac{12!}{8!} \Rightarrow 12 \times 11 \times 10 \times 9 \Rightarrow 132 \times 90 \Rightarrow 11880$
Hence the value of the above expression is $11880$

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