In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.)
Select the correct option
A) 56 B) 144 C) 200 D) 256 E) 312
Let's just represent apple by the letter A and assume that in order to distribute these apples to different people, we just need to partition them in to 4 baskets.   In order to partition the apples in to 4 baskets, we would need three Partition bars , as shown below:   56 | 56 | 5656 | 56   Child 1 Child 2 Child 3 Child 4   So basically we have 3 identical partition bars and 5 identical apples, how many ways can we arrange these?   8!/5!3! = 56   56NS:56
<result>A</result>
In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.)