Problems With the Windy CityProbability puzzles require you to weigh all the possibilities and pick the most likely outcome.
In how many different ways can you rearrange the letters in the word "CHICAGO"?
HintThere are two C's in "CHICAGO".
AnswerAt first glance, the response may seem to be simply 7!, or 5040. However, duplicates of the letter "C" poses a problem in the response. Any combination of letters, such as "ICCHOGA" can be created with C#1 coming first followed by C#2 or with C#2 preceding C#1. Any distinct possibility comes in pairs such as this. Therefore, to get rid of all duplicates, we divide 5040 (7!) in half to arrive at 2520, the answer to this problem.
See another brain teaser just like this one...
Or, just get a random brain teaser
If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.
Back to Top