• # question_answer A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is [Roorkee 1980] A) 80 B) 100 C) 200 D) None of these

Solution :

The number of ways that the candidate may select 2 questions from $A$ and 4 from $B{{=}^{5}}{{C}_{2}}{{\times }^{5}}{{C}_{4}}$ 3 questions from $A$ and 3 from $B{{=}^{5}}{{C}_{3}}{{\times }^{5}}{{C}_{3}}$ 4 questions from $A$ and 2 from $B{{=}^{5}}{{C}_{4}}{{\times }^{5}}{{C}_{2}}$ Hence total number of ways are 200.

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