Maria, Daniel, Stephanie, Michael, Elena, Tyler, Sue, and Dimitri have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if Maria
And Daniel are to sit next to each other?
A)5040
B)1440
C)10,080
D)11,520

Question

Quizplus · Accepted Answer

Maria and Daniel can be treated as a single unit, so there are 7 units to arrange. The number of ways to arrange 7 units is 7! (5040). Within their unit, Maria and Daniel can switch places, so there are 2! (2) ways to arrange them. Therefore, the total number of arrangements is 7! * 2! = 5040 * 2 = 10,080.

Maria, Daniel, Stephanie, Michael, Elena, Tyler, Sue, and Dimitri Have