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Grade: 11
        
In how many ways can 4 convicts be assigned to 8 prison cells numbered 1 to 8 if each cell can hold a maximum of 2 convicts?
29 days ago

Answers : (1)

Aditya Gupta
713 Points
							
First consider the case when there is no prison with more than 1 convict. Then number of ways is 
8P4
Now let there be exactly one prison with two convicts. number of ways is
8C1*4C2*7P2
Now let there be exactly two prison with two convicts. Number of ways is
8C2*4C2*2.
Add all these number of ways to get the final answer
29 days ago
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