SOLUTION: a student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can the student choos

Question 332750: a student has to answer 10 questions, choosing at least 4 from each of part A and part 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 by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let's pick from type A first.
We need to pick 4.
First pick has 6 choices
Second one now has 5
Third 4
Fourth 3
That leaves 2 extra type As
Now let's pick 4 from type B
Fifth pick has 7 choices
Sixth has 6
Seventh 5
Eight 4
That leaves 3 more type B.
We have two more picks to make and 5 question left to pick from
Ninth has 5 choices
Tenth has 4
Now, do the math

Solve that and there you go!

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