Multiple choice

A question paper consists of 10 questions divided into two parts I and II. Each part contains five questions. A student is required to attempt six questions in all of which at least 2 should be from part I and at least 2 from part II. In how many ways can the student select the questions if he can answer all questions equally well?

  1. 240

  2. 300

  3. 200

  4. 180

  5. 280
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The student must attempt 6 questions with at least 2 from each part. The possible selections are: 2 from Part I and 4 from Part II (C(5,2)×C(5,4) = 10×5 = 50), 3 from each (C(5,3)×C(5,3) = 10×10 = 100), or 4 from Part I and 2 from Part II (C(5,4)×C(5,2) = 5×10 = 50). Total = 50+100+50 = 200 ways.

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