MHT CET 2023 Mathematics question
A linguistic club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this group including the selection of a leader (from among these 4 members) for the team. If the team has to include at most one boy, the number of ways of selecting the team is
Answer: (D)
Solution
"At most one boy" means 0 boys or 1 boy. Case 1 (0 boys, 4 girls): teams. Case 2 (1 boy, 3 girls): teams. Total teams . A leader can be chosen in 4 ways from the 4 members of each team, so the number of ways is , option (d).
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