Help! I am stuck on this Combination question.

Reply Wed 16 Mar, 2011 07:41 pm
You have decided that each year you are going to visit Europe for vacation. you decide thathere are 12 different cities you'd like to visit. Unfortunately, you only have time to visit 3 cities per year. without repeating that would take 4 years.
How many years would it take if you could repeat cities, but the order you visted the cities doesn't matter? ex 1st year (london. paris, rome) 2nd yr (London, Paris,Dublin)
please if you can show how you arrived at answer.
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Reply Wed 16 Mar, 2011 07:49 pm
depends on how many cities you repeat each year.
If repeating 2 cities as in your example london paris
3 new cities in the first year
1 new city each year after
12 (cities) - 3 ( cities in first year) = 9 cities to go

9 +1 = 10 (years)
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