SOLUTION: A business man is planning to visit at least 3 but not all of the following cities Atlanta, Buffalo, Chicago, Detroit, Evanston, Fresno, Gainesville, and Houston. In how many ways

Question 666126: A business man is planning to visit at least 3 but not all of the following cities Atlanta, Buffalo, Chicago, Detroit, Evanston, Fresno, Gainesville, and Houston. In how many ways can he select the set of cities to be viited.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
There are 8 cities to be visited.
We need to choose 3,4,5,6,or 7 cities to visit.
So there are (8 choose 3) + (8 choose 4) + (8 choose 5) + (8 choose 6) + (8 choose 7) = 218 ways to visit 3,4,5,6,or 7 cities.

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