# Really Amazing Dudes

**Discrete Mathematics**Level 3

Radleigh and Bradley both think that they are very cool; in fact, they are "RAD!!!". However, they dispute who is more "RAD!!!". Sameer came up with a metric of testing "RAD!!!"-ness: the person who has more permutations of their name starting with "RAD" has \(x\) more "RAD!!!"-ness points than the other, where \(x\) is the difference in the number of permutations.

If Adam says Bradley has \(120\) "RAD!!!"-ness points, then how many "RAD!!!"-ness points does Radleigh have?

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