In how many ways can 11 players be seated on the team bench so that Joey and Jill are
not seated next to each other?
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In how many ways can 11 players be seated on a bench so that Joey and Jill are not seated next to each other? arrangements = 11!
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Answer:
The arrangements of Joey and Jill not sitting next to each other = total arrangements - arrangements where they sit with each other
Total arrangements= 11!
arrangements where they sit with each other
JJ _ _ _ _ _ _ _ _ _
_J J_ _ _ _ _ _ _ _
so on....
until we know there are total 10 ways that Joey and Jill could sit together
10!* 2
We multiply by 2 because Joey could sit on the left side of Jill or on the right side.
= 11!- 10!*2
= 32 659 200
Step-by-step explanation:
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