Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45 -minute tours are offered at each attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time .
-In how many ways could the traveler schedule all three tours in one day, with the museum tour Being after noon?
A) 30
B) 60
C) 40
D) 20

Question

Quizplus · Accepted Answer

The museum tour can be scheduled at 1 p.m., 2 p.m., or 3 p.m. (3 options). The art gallery and state capitol tours can be scheduled in any of the remaining 5 time slots. The number of ways to schedule these two tours is 5P2 = 20. Therefore, the total number of ways is 3 * 20 = 60.

Suppose a Traveler Wanted to Visit a Museum, an Art