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  4. A student has to answer 10 questions, choosing at least 4 from each of the parts A and B. If there are 6 questions in part A and 7 in part B, then the number of ways can the student choose 10 questions is

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Q. A student has to answer $10$ questions, choosing at least $4$ from each of the parts $A$ and $B$. If there are $6$ questions in part $A$ and $7 $ in part $B$, then the number of ways can the student choose $10$ questions is

KCETKCET 2021Permutations and Combinations

Solution:

${ }^{13} C _{10}-{ }^{6} C _{3}=286-20=266$