An exam paper contains 3 sections with 5 questions each. A student attempts 5 questions with atleat one question from each section. In how many ways it is possible?

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Solution

Solution :-

There are 3 questions in each section... with 5 in each ...
To select 5 questions, at least 1 from each section...

The candidate can select (a,b,c) number of questions from sections (1,2,3).
(a,b,c) can be : (1,1,3), (1,3,1), (3,1,1), (1,2,2), (2,1,2), (1,2,2)

The total number of ways:
= 5C1 * 5C1* 5C3 * 3 + 5C1 * 5C2* 5C2 * 3 = 2250 Answer

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