(a) Must answer first 2 questions, thus he needs to answer 8 of the remaining 11 questions.
ways. (Answer)
(b) First or second means 2 ways, then he needs to answer 9 of the remaining 11 questions (not both)
ways. (Answer)
(c) Exactly 3 of the first, then he can choose 7 of the remaining 8 questions
ways. (Answer)
(d) Atleast 3 of the first five means, three cases can occur:
CASE 1: 3 of the first five questions
CASE 2: 4 of the first five questions
CASE 3: 5 of the first five questions
Thus, total number of ways ways. (Answer)
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