Find the value of $^{75} P_{2}$

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Solution

$^{75} P_{2} \Rightarrow^{n} P_{r} = \frac{n!}{(n - r)!} \Rightarrow^{75} P_{2} = \frac{75!}{73!} \Rightarrow 75 \times 74 \Rightarrow 5550$
Hence the value of the above expression is $5550$

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