There are 5 different peaches and three different apples. How many number of ways can they be divided into two packs of four fruits, if each pack must contain at least one apple?
solution is from user melody https://web2.0calc.com/questions/counting_88
1 apple, 3 peaches 3*5C3
2 apples, 2 peaches 3*5C2
3 apples 1 peach 1*5
Then add them up.