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Suppose we want to fill a bag with 10 piece of fruit from 4 possible fruits:...

Suppose we want to fill a bag with 10 piece of fruit from 4 possible fruits: apples, pears, oranges, and lemons. How many ways are there to fill this bag with 10 pieces of fruit if we have the constraint that there are either oranges or lemons in the bag but never both? Ex: there may be oranges or lemons or neither of them but never both.

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Answer #1

Hence, in all there are 240 ways so that we can also meet the given constraint.

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