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 before 1 p.m.?
A) 6
B) 1
C) 9
D) 3

Question

Quizplus · Accepted Answer

The traveler can visit the three attractions in any order, but all tours must be completed by 1 p.m. This means the tours must be scheduled at 10 a.m., 11 a.m., and 12 p.m. There are 3! (3 factorial) ways to arrange the tours, which is 6.

Suppose a Traveler Wanted to Visit a Museum, an Art