A hostel has 3 blocks. Each block has 4 floors and each floor has 8 rooms. How many ways are there to choose one room?

Correct answer: 96 ways

This is a direct application of the multiplication principle. To identify one room, three successive choices are made: select one of the 3 blocks, then one of the 4 floors in that block, and finally one of the 8 rooms on that floor. Every block choice has 4 floor choices, and every floor choice has 8 room choices. Hence the total number of rooms, and therefore the number of ways to choose one room, is 3 × 4 × 8 = 12 × 8 = 96. Option C is correct. The value 64 ignores the blocks, 32 does not use the stated structure correctly, and 15 is merely an inappropriate sum of some quantities rather than a product of independent stages.