Find the number of ways in which 4 identical balls can be distributed among 6 identical boxes

 Find the no. ofways in which 4 identical balls can be distributed among 6 identical boxes, if not more than one ball goes into a box?

A). 12

B). 6

C). 4

D). 15

Text Solution

Answer : 7

Solution : 4 distinct balls can be divided into two nonempty groups as 1,3 or 2,2 <br> Sine boxes are identical, number of ways of division and distibution are same <br> `therefore` Number of ways `=(4!)/(1!3!)+(4)/(2!2!2!)=4+3=7`.

In how many different ways can 6 identical balls be distributed among 4 different boxes, where each box can have any number of balls?

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