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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.

Solution:

It is known that,

6 = Number of questions in group A

6 = Number of questions in group B

As per the question,

The ways in which we can attempt the questions are,

   

As a result, the no. of ways of doing questions,