there are 5 identical apples and 6 identical oranges to be distributed.

 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?! 

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