MHT CET 2023 Mathematics question

MathematicsPermutations and CombinationsMHT CET 2023

The teacher wants to arrange 5 students on the platform such that the boy occupies the second position and the girls and are always adjacent to each other, then the number of such arrangements is

Answer: (C)

Solution

Fix at position 2. The girls must occupy two adjacent positions out of the remaining positions . Position 1 and position 3 are not adjacent (position 2 lies between them), so the only adjacent pairs are and : 2 choices. The two girls can be

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Question ID VK-096411