Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleMedium2 minPYQ_2025

MathematicsMediumsingle choice

The number of ways, in which the letters $A, B, C$ , D, E can be placed in the 8 boxes of the figure below so that no row remains empty and at most one letter can be placed in a box, is :

Options:

Answer:

Solution:

$= Total - [(All in_{1} and R_{3}) + (All in R_{2} and R_{3}) + (All in R_{1} and R_{2})] =^{8} C_{5} \cdot ∣ 5 - {\underline{5} + ⌊ 5 +^{6} C_{5} \cdot \underline{5}} = ⌊ 5 (56 - 1 - 1 - 6) = 120 (48) = 5760$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: PYQ_2025

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