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a question has two parts ,part a and part b each containing 8 questions.in how many ways a student can select 6 questions from a and 5 questions from b.

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a committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies.the no. of ways in which the committe contains atleast one lady. an examinee is required to answer 6 questions out of 12 questions which are divided into two groups each containing six questions and he is not permitted to answer more than four questions from any group.in how many ways he can answer the 6 questions?