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From (11) players, (7) are to be selected, and at most (2) of (4) special players can be selected. How many selections are possible?

Answer and explanation

Correct answer: (126)

The number of special players can be (0,1,2), with (7) ordinary players available. Sum (^{4}C_{0}{}^{7}C_{7}+^{4}C_{1}{}^{7}C_{6}+^{4}C_{2}{}^{7}C_{5}=155).

Related tags

AtmostSpecialSelectionCombinationsPermutations And CombinationsMathematicsClass 11 Mcq

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