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?

Question

Aditya Gupta · Answer

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

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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?

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?

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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?

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?

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