Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 13, 2026

In how ways 3 Maths, 5 Physics and 2 Chemistry books can be arranged on a shelf so that the books of same subject are not separated.

A
∠ ∠ 3 ∠ ∠ 3 ∠ ∠ 5 ∠ ∠ 2
B
∠ ∠ 3 ∠ ∠ 5 ∠ ∠ 2
C
∠ ∠ 10 / ∠ ∠ 3 ∠ ∠ 5 ∠ ∠ 2
D
None

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Text Solution

Verified by Experts
The correct answer is:
A

Consider Maths books as one unit, Physics books as one unit and Chemistry books as one unit then the 3 units can be arranged in ∠ ∠ 3 ways and the books in the units can be interchanged in ∠ ∠ 3 ∠ ∠ 5 ∠ ∠ 2 ways. Hence ∠ ∠ 3 ∠ ∠ 3 ∠ ∠ 5 ∠ ∠ 2.

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