SOLUTION: a man who works a five day week can travel to work on foot, by cycle, or bus. in how many ways can he arrange a week's traveling to work?

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Question 1188585: a man who works a five day week can travel to work on foot, by cycle, or bus. in how many ways can he arrange a week's traveling to work?

Found 3 solutions by ikleyn, greenestamps, Alan3354:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

My solution was incorrect, so I deleted it.

Sorry for it . . .


Use the solution by @greenestamps.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


It appears the other tutor misinterpreted the problem....

He has 3 choices for the mode of travel on each of the 5 days; the total number of sequences of choices for the 5-day work week is 3^5 = 243.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
So it's somewhere between 15 and 243 inclusive.