Question

Check is my answer correct ?


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?

Answer 1

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

6C4×7C6+6C5×7C5+6C6×7C4= 105 + 126 + 35 = 266.

Answer 2

@mikaela19900630

Answer 3

Looks good to me!