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A candidate is required to answer 7 questions out of 12 questions, which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. Find the number of different ways of doing questions.

 

Answers (1)

Given: Candidates cannot attempt more than 5 questions from either group and can only attempt a minimum of 2 questions from either group. 

The possible number of questions attempted by each group is: 

a) 5 from Group I and 2 from Group II

b) 4 from Group I and 3 from Group II

c) 3 from Group I and 4 from Group II

d) 2 from Group I and 5 from Group II 

Total ways= 2\left [^6C_5*^6C_2+^6C_4*^6C_3 \right ]=2*390=780

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