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A student has to answer 10 questions, choosing atleast 4 from each of Parts A and B.

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A student has to answer 10 questions, choosing atleast 4 from each of Parts A and B. If there are 6 questions in Part A and 7 in Part B, in how many ways can the student choose 10 questions?

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The possibilities are:

4 from Part A and 6 from Part B

or, 5 from Part A and 5 from Part B

or, 6 from Part A and 4 from Part B.

Therefore, the required number of ways is

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