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If the people are always facing forward? 24 ways.

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14y ago

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How many different ways can 5 people stand in a line?

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How many ways can 6 people stand in line?

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What are the places where people stand in line?

a queue


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DOCTOR


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There are 7 people who could stand first, with 6 people who could stand second for each of those first people, with 5 people who could stand third for each of those first two people, and so on, until with 1 person left who could stand seventh for each of the first six people. This gives 7 × 6 × 5 × ... × 1 = 5040 ways.


How many ways can 5 people stand in a strait line if Jessie is always third?

Not sure what a strait line is! Five people can stand in a straight line, with Jessie third in 24 ways if you ignore left-to-right and right-to-left "reflections".


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