Question
In: Statistics and Probability
In this question, there are 5 identical apples and 6 identical oranges to be distributed. (a)...
In this question, there are 5 identical apples and 6 identical
oranges to be distributed.
(a) How many ways are there to distribute the fruit among 4
children? 1
(b) How many ways are there to do this if each child needs to
receive at least one orange and not all of the fruit is required to
be handed out?
(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?
1It is allowed for some child or children to receive
nothing.
2Again, it is allowed for some child or children to receive
nothing.
Solutions
orchestra answered 1 year agoRelated Solutions
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in a year.
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