NDA 2021 Mathematics question

Consider three sets , and having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let . How many proper subsets does have?

Answer: (C)

Solution

Since all 15 elements are distinct, , and are pairwise disjoint. So (6 elements) and has elements. A set with 10

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Question ID VK-033649