Why is the answer 2-ethyl-4,5-dimethylheptane instead of my answer?

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Homework Statement


chemproblem.png

The Attempt at a Solution


The answer is supposed to be D but I can't figure out why, my method gave me B
counting the number of points in the longest chain there are 7 and there are only single bonds so without the branches I have heptane. there is a ethyl attached to the second point and a methyl attached to the fourth and fifth point so it should be 2-ethyl-4,5-dimethylheptane
 
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woops that was a typo in the original post. The answer key has it listed as C