Let the set S=\{2,4,8,16, . . . . .512\} be partitioned into 3 sets A, B, C with equal number of elements such that {\A} \cup {\B} \cup {\C}= {\S} and {\A} \cap {\B}= {\B} \cap {\C}= {\A} \cap {\C}=\phi. The maximum number of such possible partitions of S is equal to : [5 Apr 2024 Shift 2]

Permutations and Combinations Part 2

Section: Mathematics

Question : 41 of 110

Marks: +1, -0

Let the set S={2,4,8,16,.....512} be partitioned into 3 sets A,B,C with equal number of elements such that A∪B∪C=S and A∩B=B∩C=A∩C=φ. The maximum number of such possible partitions of S is equal to :

[5 Apr 2024 Shift 2]

1680
1520
1710
1640

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