A question paper is divided into two parts A and B and each part contains $$5$$ questions. The number of ways in which a candidate can answer $$6$$ questions selecting atleast two questions from each part is

Question

Infinity Learn · Accepted Answer

The number of $$way6$$ that the candidate may $$select(i)$$ if $$2$$ questions from. A and $$4$$ questions from B $$=5C2$$×$$5C4=50(ii)$$ $$3$$ questions from A and $$3$$ questions from B $$=5C3$$×$$5C3=100(iii)$$ $$4$$ questions from $$4$$ and $$2$$ questions from B $$=5C4$$×$$5C2=50Hence$$, total number of ways $$=$$ $$50$$ $$+$$ $$100$$ $$+$$ $$50$$ $$=$$ $$200$$

A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is

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