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This is going to be big. To simplify the idea some, start with the digit, and write Even & Odd. The even side will look exactly like the odd side. Then for the first letter, list all 26 letters. Then under each letter, list all 26 letters again. So under ODD you will have 676 letters. And the same under Even, for 1352. Looking at the odd side, you have the first tier P has 26 under it, and Q has 26 under it for 52. Then for the other 24 letters, each one has 2 'winners', so 48 more. So there are 100 winners out of 1352 total.

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