permutations and combinations

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by GMATGuruNY » Mon Jul 27, 2015 4:03 am
pranayece wrote:Five different roads join a village to the nearby city. The number of different ways in which a person

can go to the town and come back is:
Number of ways to travel from the city to the village = 5. (Any of the 5 roads.)
Number of ways to travel from the village back to the city = 5. (Any of the 5 roads.)
To combine these options, we multiply:
5*5 = 25.
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by Brent@GMATPrepNow » Mon Jul 27, 2015 6:50 am
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by nikhilgmat31 » Wed Jul 29, 2015 12:10 am
since he can take a same way for roundtrip.

5 * 5 = 25

if he must select a different way to return then number of ways = 5 * 4 = 20