The Cultural Side Of Things

Discrete Mathematics Level pending

An opera-house has 8 lead singers available for a simultaneous performance of 5 operas. Each opera requires 1 lead singer and no lead singer can appear in more than 1 opera.

How many ways can lead singers be assigned to operas? Assume that if singer A is assigned to opera C and singer B is assigned to opera D, that is different than A being assigned to D and B assigned to C, even if the other three operas have identical lead singers in both arrangements.

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