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An exam has (6) questions in section (A) and (7) in section (B). A total of (8) questions must be chosen with at least (3) from each section. How many selections are possible?

Answer and explanation

Correct answer: (945)

Cases are (3,5), (4,4), and (5,3). Sum (^{6}C_{3}{}^{7}C_{5}+^{6}C_{4}{}^{7}C_{4}+^{6}C_{5}{}^{7}C_{3}=945).

Related tags

ExamSectionsCombinationsPermutations And CombinationsMathematicsClass 11 Mcq

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