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In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical.

 Feb 10, 2020

Best Answer 

 #2
avatar+109064 
+1

This is similar  to  distributing k identical balls into n distinct boxes......where  we have no restrictions [ any box can be empty ]  

 

This is given by

 

C ( n + k  -1 , n -1)   =  C ( 3 + 6 - 1 , 3 - 1)  =  C ( 8, 2)   =   28 ways

 

cool cool cool

 Feb 10, 2020
 #1
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0

If each child can have 1 or more chocolates, then you have:

 

[6 - 1] C [3 - 1] =5C2 =10 ways.

 Feb 10, 2020
 #2
avatar+109064 
+1
Best Answer

This is similar  to  distributing k identical balls into n distinct boxes......where  we have no restrictions [ any box can be empty ]  

 

This is given by

 

C ( n + k  -1 , n -1)   =  C ( 3 + 6 - 1 , 3 - 1)  =  C ( 8, 2)   =   28 ways

 

cool cool cool

CPhill Feb 10, 2020

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