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It is 1/7.
4 out of 52
There are many different ways to look to calculate the odds on picking the perfect bracket. Attached is a article that lists many of the different possibilities
3/7
The letters in the word can be arranged in 7!/4! = 210 ways if A and a are treated the same. If A and a are considered different (so that, for example, Alabama is not alabAma), then there are 7!/3! = 840 ways.