Question

in permutations and combinations a question says that : np3=24 what is the value of n

Answer 1

Hi...☺

Here is your answer...✌
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${^{n} P}_{3} = 24 \\ \\ \frac{(n ) !}{(n - 3)!} = 24\\ \\ \frac{n \times (n - 1) \times (n - 2) \times (n - 3)!}{(n - 3)!} = 24 \\ \\ n \times (n - 1) \times (n - 2) = 4 \times 3 \times 2 \\ \\ By \: compairing ,\\ \\ = > n = 4$