question_answer

The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is

A) 5      

B)                        21          

C)                        \[{{3}^{8}}\]     

D)        \[^{8}{{C}_{3}}\]

Correct Answer: B

Solution :

The total number of ways of dividing n identical items among r persons, each one of whom receives atleast one item, is \[^{n-1}{{C}_{r-1}}\]. The required number of ways