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5
6
Partitioning a set
In how many ways can a set of r objects be partitioned into subsets of k objects such that:
all subsets are mutually exclusive
each of k-object subset appears in exactly one of the partitions [Partit
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Hard
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2
2
Nice to meet you
At a secret meeting, everyone shakes hands exactly once with every other person present.
Altogether there are forty-five handshakes. How many people attended the meeting?
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Easy
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