Hello all, I have a supposedly simple probability problem that I am having trouble understanding.

The question is: "There are 15 different apples and 10 different pears. How many ways are there for Jack to pick an apple or a pear and then for Jill to pick an apple and a pear".

I know the answer is 15*10(14+9), but I have no idea how the answer came about.

If anyone can explain, I will be very grateful.