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Consider a group of ten people. The ten people are grouped into five pairs and the...

Consider a group of ten people. The ten people are grouped into five pairs and the pairs are waiting in a queue.

a) How many ways can the ten people be grouped into pairs and the pairs then lined up to form a queue?

b) How many of the queues of pairs have the same set of five couples?

c) Using b) deduce how many ways the ten people be grouped into sets of five couples?

Math   Advanced-Math   
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