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Q.

Find the number of permutations of 5 dissimilar things taken 3 at a time

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a

${}^{5}P_{3}$

b

$3^{5}$

c

${}^{3}P_{5}$

d

$5^{3}$

answer is A.

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Detailed Solution

Here $n = 5, r = 3$

Number of permutations of 5 dissimilar things taken 3 at a time is ${}^{n}P_{r} \Rightarrow {}^{5}P_{3}$

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