Mathematics · 2024
JEE Main · 5 April 2024, Shift 2 · Q1
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…
Let the set $\displaystyle S=\{2,4,8,16, \ldots, 512\}$ be partitioned into $\displaystyle 3$ sets A, B, C with equal number of elements such that $\displaystyle \mathrm{A} \cup \mathrm{B} \cup \mathrm{C}=\mathrm{S}$ and $\displaystyle \mathrm{A} \cap \mathrm{B}=\mathrm{B} \cap \mathrm{C}=\mathrm{A} \cap \mathrm{C}=\phi$. The maximum number of such possible partitions of $\displaystyle S$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 1680$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.