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The polygon may have 2n sides, where n is any whole number greater than 1
I assume you mean no repetition to be ABC and not ABA OR AAB. That being said this is very straight forward. The first position can potentially have any of the 26 letters. the second position can only have 1 of 25 possible letters because one letter has already be selected for the first position. And the final position can only have 1 of 24 possible letters because two letters have already been selected for the first two positions. Just multiply the number of possibilities for each position together and you have your answer. 26 * 25 * 24 = 15600 possible combinations.
The largest 4 digit number in base 8 is 77778 (= 409510).
To create the largest even number, we should place the highest digit in the most significant place value to maximize its value. The highest digit available is 9, so we should place it in the leftmost position. Following this logic, the largest even number using the given digits is 987654321.