An examination paper consists of 12 questions divided into parts A and – InterviewSolution

1.

An examination paper consists of 12 questions divided into parts A and B contains 7 questions in part A and part B contains 5 questions. A candidate is required to answer 8 questions selecting atleast 3 from each part. In how many ways can the candidate select the questions.

Answer»

PartA 7Q		PartB 5Q
No. of selections At least 3	3	5	⁷C₃ x ⁵C₃ = 35
	4	4	⁷C₄ x ⁵C₄ = 175
	5	3	⁷C₅ x ⁵C₃ = 210

Total = 420 ways

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