MHT CET 2023 Mathematics question

MathematicsPermutations and CombinationsMHT CET 2023

A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group including the selection of a Captain (from among these 4 members) for the team. If the team has to include atmost one boy, the number of ways of selecting the team is

Answer: (D)

Solution

At most one boy means either 0 boys or 1 boy. Case 1 (0 boys): choose 4 girls ways. Case 2 (1 boy): ways. Total teams . In each team a captain can be

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Question ID VK-094614