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Finding the sample space of putting identical balls in identical boxes

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111
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Balls are pulled and distributed randomly into the boxes. What is the probability that in no boxes there will be balls of the same color?

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60
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In how many ways can 20212022 identical balls be arranged in 2022 different bins [with conditions]?

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77
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$m$ distinct boxes and $n$ distinct balls probability problem

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75
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Chance that a group of $n$ people collectively have a missing birthday.

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319
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Probability of empty bin, where the number of balls is based on another game...

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110
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Number of ways of distributing white and black balls into bowls

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68
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In how many ways it is possible to take out balls from the basket , such that will take out at least one from each color?

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54
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number of possibilities to distribute k balls in 2n boxes with condition

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43
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No adjacent empty boxes with PIE

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1.8k
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How many ways can you put 8 red, 6 green and 7 blue balls in 4 indistinguishable bins?

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572
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Distinguishable balls in two types of indistinguishable boxes

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220
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Birthday paradox derivation: different approach

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588
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Probability of $k$ collisions

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2k
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n balls are thrown indepently into n boxes. What is the probability there is exactly one box empty?

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