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?
I have searched this question and have seen many interpretations.
Answer-1 (source: answers.yahoo.com)
Ans: 24 x 23 x 22 x21 x20 x19 x 18
Answer-2: (source: m4maths.com)
Ans 24P7 * 2 * 18
Answer-3: (source: careerbless) Ans: 24!*36
since there are 36 positions for A and B (1-9, 9-1, 2-10,10-2, ...18-26,26-18) and remaining 24 letters can be positioned in 24! ways, to me, the third answer 24!*36 appears right. Please tell if this is correct.