Permutation and Combination_JEE-Main 050424_(S2) - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Main 2024

05-04-2024 S2

Question

Let the set $S=\{2,4,8,16, \ldots, 512\}$ be partitioned into 3 sets $\mathrm{A}, \mathrm{B}, \mathrm{C}$ 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 :

Select the correct option:

A

1680

B

1520

C

1710

D

1640

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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