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In: Statistics and Probability

In my pantry there are 4 different cans of corn, and 6 different cans of fruit....

In my pantry there are 4 different cans of corn, and 6 different cans of fruit. Suppose I wish to arrange these 10 cans in a line. How many ways are there to do this if:

1. None of the corm cans can be next to each other (i.e. the corn cans must be kept separate from each other)?

2. All of the cans of fruits must be next to each other?

3. The cans at the start and end of the line must be corn cans?

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