There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the

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Correct answer: D. 2250

A → 5QB → 5QC → 5Q A _ 1 , A _ 2 , A _ 3 , A _ 4 , A _ 5 B _ 1 , B _ 2 , B _ 3 , B _ 4 , B _ 5 C _ 1 , C _ 2 , C _ 3 , C _ 4 , C _ 5 A _ 1 A _ 2 A _ 3 B _ 1 C _ 1 ⇒ C1 3 × C3 5 × C1 5 × C1 5 = 750 , where three questions are picked from any of the subject and one each from other two subjects. A _ 1 A _ 2 B _ 1 B _ 2 C _ 1 ⇒ C2 3 × C2 5 × C2 5 × C1 5 = 1500 , where one question is picked from one of the subject and two each from rest of the two subjects. ∴ Total number of ways = 2250

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