Question
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.)
Answers
Ms. Sue
It looks like you can make 5 fruit baskets since you only have 5 apples.
but there are 10 oranges
Ms. Sue
Then each basket gets 1 apple and 2 oranges.
there can be:
*one fruit in a basket
*two fruits in a basket
*...et cetera
*one fruit in a basket
*two fruits in a basket
*...et cetera
Ms. Sue
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.
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