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:

Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on number of relations and setsHard2 minPYQ_2024

MathematicsHardsingle choice

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

Options:

Answer:

Solution:

$\frac{9 !}{( 3 ! 3 ! 3 !) 3 !} \times 3!$

Stream:JEESubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on number of relations and sets

⏱ 2mℹ️ Source: PYQ_2024

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