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Permutation

Out of 6 obje...

Question

Out of 6 objects n are of one type and the rest are diff type each. If the total number of arrangements of these objects is equal to 30, what is the value of n?

A

6

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B

5

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C

4

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D

2

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Solution

The correct option is C
4

The total number of permutations under given condition is 6!/n!=30(given)
654321=(n!)30
Solving we get
n=4

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