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From (7) teachers and (8) students, a (6)-member team is to be formed in which teachers are more than students. How many teams are possible?

Answer and explanation

Correct answer: (917)

Cases are (4T2S), (5T1S), and (6T0S). Sum is (^{7}C_{4}{}^{8}C_{2}+^{7}C_{5}{}^{8}C_{1}+^{7}C_{6}=1155).

Related tags

TeamComparisonCaseworkCombinationsPermutations And CombinationsMathematicsClass 11 Mcq

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