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From (6) engineers, (5) doctors, and (4) teachers, a team of (7) members is to be formed. The team must have exactly (2) doctors and at least (2) engineers. How many teams are possible?

Answer and explanation

Correct answer: (2460)

First choose (2) doctors, then choose the remaining (5) members from engineers and teachers with at least (2) engineers. Keep exact and at least conditions in separate stages.

Related tags

Team-SelectionCombinationsProfessionFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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