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JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

4 five-rupee coins, 3 two-rupee coins and 2 one-rupee coins are stacked together in a column at random. The probability that the coins of the same denomination are consecutive is

Answer: (B)

Solution

Treat coins of a denomination as identical:

n(S) = = 1260 .

If each denomination is together, we only arrange the 3 blocks: . So

P =

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Question ID VK-109728