Question: Problem 1 In this question, there are 5 identical apples and 6 identical oranges to be distributed. (c) How many ways are there to distribute

  • Problem 1 In this question, there are 5 identical apples and 6 identical oranges to be distributed.
  • (c) How many ways are there to distribute the fruit among 3 children such that no child receives two different types of fruit?2
  • (d) How many ways are there to lay the fruit in 3 piles? The piles must not be empty but it doesn't matter which pile is which.
  • (e) If one of the 3-pile arrangements from part (d) is chosen uniformly at random, what is the probability that each pile consists of only one type of fruit?

I have trouble solving problem c and d. Please help!

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