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in Mathematics by (68.8k points)

Let A1, A2 .... , Am be non-empty subsets of {1,2,3,..... ,100} satisfying the following conditions: 

(1) the numbers |A1|, |A2|,... , |Am| are distinct; 

(2) A1, A2 , ... , Am are pairwise disjoint. (Here |A| denotes the number of elements in the set A.) Then the maximum possible value of m is 

(A) 13 

(B) 14 

(C) 15 

(D) 16

1 Answer

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Best answer

Correct Option :-  (A) 13

Explanation :-

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