SOLUTION: On an English test, Tito must write an essay for three of five questions in Part 1, and four of six questions in Part 2. How many different combinations of questions can be chosen?

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Question 623027: On an English test, Tito must write an essay for three of five questions in Part 1, and four of six questions in Part 2. How many different combinations of questions can be chosen?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
For Part 1 we need to find how many combinations of 3 choices can be made out of 5 options. This can be done with a tree diagram or we can use the formula for this:
5%21%2F%283%21%2A2%21%29
which simplifies as follows:
%281%2A2%2A3%2A4%2A5%29%2F%28%281%2A2%2A3%29%2A%281%2A2%29%29

20%2F2
10

For Part 2, four out of 6:
6%21%2F%284%21%2A2%21%29
%281%2A2%2A3%2A4%2A5%2A6%29%2F%28%281%2A2%2A3%2A4%29%2A%281%2A2%29%29

30%2F2
15

For the total number of ways both parts can be answered:
10*15 = 150