I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets can I make? (The apples are identical and the oranges are identical. A fruit basket consists of some number of pieces of fruit, and it doesn't matter how the fruit are arranged in the basket.)

5 answers

It looks like you can make 5 fruit baskets since you only have 5 apples.
but there are 10 oranges
Then each basket gets 1 apple and 2 oranges.
there can be:
*one fruit in a basket
*two fruits in a basket
*...et cetera
I assumed that each basket must have at least one piece of each kind of fruit. But if that is not a criteria, then you could have 15 baskets with only one piece of fruit in each.