Concept explainers
Seating Arrangements at a Theater In Exercises 65-68, Arne, Bobbette, Chuck, Deirdre. Ed, and Fran have reserved six seats in a row at the theater, starting at an aisle seat. (Refer to Example 8.)
In how many ways can they arrange themselves so that Arne and Bobbette will be next to each other?
(Hint: Answer the questions in parts (a)-(f). in order.)
(a) How many pairs of adjacent scats can A and B occupy?
(b) Now, given the two seats for A and B. in how many orders can they be seated?
(c) Now, how many seats are available for C?
(d) Now, how many for D?
(e) Now, how many for E?
(f) Now, how many for F?
Now multiply your six answers above.
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