Choose the one alternative that best completes the statement or answers the question.
-How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if A and B must sit together?
A)48
B)120
C)12
D)24

Question

Quizplus · Accepted Answer

If A and B must sit together, treat them as a single unit or "block." This means we have four units to arrange: (AB), C, D, and E. The number of ways to arrange these four units is 4! = 24. Within the block, A and B can switch places, giving us 2! = 2 ways. Therefore, the total number of arrangements is 24 * 2 = 48.

Choose the One Alternative That Best Completes the Statement or Answers