There are VV1V2 boxes Each box can hold 0 or 1 object There

There are V=V1+V2 boxes. Each box can hold 0 or 1 object. There are N objects. What is the probability that M of the N objects lie in V1, and maximize this to get M_max using Stirling\'s approximation.

Solution

What is the probability that M of the N objects lie in V1

for each box is 1/ N

we have V1 + V2 boxes so

1/N + 1/N = 2/N

FOR THE OTHER QUESTION

maximize this to get M_max using Stirling\'s approximation.

I CAN GLADLY HELP YOU BUT YOU SHOULD POST IT IN A NEW QUESTION

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