Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 14, 2026

A subset P is selected from a set S containing n elements and elements of P are then replaced in S and another subset Q is selected. The no. of ways can this be done. Such that P ∩ ∩ Q = φ φ

A
2 n
B
4 n
C
3 n
D
n

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Text Solution

Verified by Experts
The correct answer is:
C

For each element in S, there are 3 choices.

Putting in P only

Putting in Q only

Not putting in P or Q.

∴ ∴ No. of choices of n elements = 3 n .

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