MHT CET 2024 Mathematics question

MathematicsPermutations and CombinationsMHT CET 2024

If 3 books on Physics, 2 books on Chemistry and 4 books on Mathematics are to be arranged on a shelf so that all the Physics books are together and all the Mathematics books are together then the number of such arrangements is

Answer: (C)

Solution

Treat the 3 Physics books as one block and the 4 Mathematics books as one block. Together with the 2 separate Chemistry books we have objects, which can be arranged in ways. Inside the Physics block the books can be permuted in ways and inside the Mathematics block in ways. Total

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Question ID VK-092806