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The usual running order of a 7 -person relay team is: Allen, Braedon, Callum, Denis, Ekam,
Freya, Gurjas. For an upcoming track meet, the coach decides to change their running order. (a)
In how many orders could they run so that no person runs right after the person they did before?
For example, Denis would not run directly after Callum runs. (b) In how many orders could they
run so that no person runs in the same position as before? For example, Denis would not run
fourth.

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  • 1. The usual running order of a 7 -person relay team is: Allen, Braedon, Callum, Denis, Ekam, Freya, Gurjas. For an upcoming track meet, the coach decides to change their running order. (a) In how many orders could they run so that no person runs right after the person they did before? For example, Denis would not run directly after Callum runs. (b) In how many orders could they run so that no person runs in the same position as before? For example, Denis would not run fourth.