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Permutations and Combinations question

2024 · 5 Apr · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Permutations and Combinations
2024 · 5 Apr · Shift 2 · Q43

Permutations and Combinations question

2024 · 5 Apr · Shift 2 · Q43

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1

Let the set

S=\{2,4,8,16, \ldots, 512\}

be partitioned into 3 sets

A, B, C

with equal number of elements such that

\mathrm{A} \cup \mathrm{B} \cup \mathrm{C}=\mathrm{S}

and

\mathrm{A} \cap \mathrm{B}=\mathrm{B} \cap \mathrm{C}=\mathrm{A} \cap \mathrm{C}=\phi

. The maximum number of such possible partitions of

S

is equal to:

A
1640
B
1520
C
1710
D
1680

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