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In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated?

Position of A and B can be 1-9, 2-10, 3-11 ,..., 18-26 (18 ways) Remaining 24 letters can be arranged in 24 positions in 24! ways Position of A and B can be interchanged (2 ways)