counting principle and permutations

[puppy1]

Traveler visiting 3 museums offering 45 minute tour each. Museum is open 6 hours a day. How many ways can the traveler visit all 3 in one day?

 

[tkhunny]

How many 45-minute blocks in 6 hours?

 

[pka]

Traveler visiting 3 museums offering 45 minute tour each. Museum is open 6 hours a day. How many ways can the traveler visit all 3 in one day?

Hello PuP, This post offers so little information as to make it almost meaningless.
Doing all three tours will require two hours and fifteen minutes. So you have three hours and forty five minutes to travel among museums.
There are \(3!=6\) ways to visit all three.

 

[Steven G]

How about ₈P₃?

 

[Dr.Peterson]

How about ₈P₃?

That makes sense, if we suppose that the tours are given during 8 successive fixed time slots, the same at each museum, and it takes no time to get from one museum to any other.

As pka suggested, too little is stated in the problem to be sure what it really means; his answer assumes that only order matters, as would be true if a tour can start any time you arrive.