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. 3

B. 1

C. 6

D. 9

Question

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. 3  
 
 B. 1  
 
 C. 6  
 
 D. 9

mathteacher1729 · Answer

This problem is asking "How many ways can you order the letters M, A, and S ?"  
M = museum
A = art gallery
S = state capitol 

MAS
MSA
AMS
...
etc

How different orderings are there? :)

anonymous · Answer

so 3 ?

mathteacher1729 · Answer

Can you think of any other orderings? (It helps to actually write them all out, there aren't very many, but there are more than three.)

anonymous · Answer

or wud it be 9

mathteacher1729 · Answer

List the different ways. Actually write them out. Like, in the text box here. ;-p