SOLUTION: Megan is planning a long-awaited driving tour, which will take her and her family through three different states. Megan is interested in seeing 14 monuments, three of which are in

Algebra ->  Permutations -> SOLUTION: Megan is planning a long-awaited driving tour, which will take her and her family through three different states. Megan is interested in seeing 14 monuments, three of which are in       Log On


   

Question 1183008: Megan is planning a long-awaited driving tour, which will take her and her family through three different states. Megan is interested in seeing 14 monuments, three of which are in the first state, Six of which are in the second state, and five of which are in the third state. However, she only has time to see three of them. In how many ways can the three monuments chosen include sites in fewer than all three states?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


She needs to choose 3 of the 14 monuments without having one in each state.

The number of ways she can do that is the total number of ways of choosing 3 of the 14 monuments, minus the number of ways of choosing one in each state.

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You can do the calculations; your final answer should be 274.