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`        the number of ways in which 6 different balls can be put in two boxes of different sizes such that no box is empty is`
2 years ago

Arun
24497 Points
```							You may proceed this way :There are 2 distinct boxes (say A and B) and n distinct objects.So each of n objects can go to either of the two boxes.So total no. of possibilities = 2^nNow the problem is, these 2^n cases contain two cases where:# all objects are in box A# all objects are in box BThese two cases make a box empty, which is prohibited. So we need to exclude these 2 cases.So total no. of ways =( 2^n) - 2 But here n = 6 Hence answer = 2^6 - 2 = 64 - 2 ,= 62 RegardsArun (askIITians forum expert)
```
2 years ago
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• Mind Map
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• NCERT Solutions
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