in how many ways can letters of english alphabet be arranged so that there are seven letters between A B

answer- 2!*24c7*7!

A & B can be interchanged with 2!, and frm 24 we will choose any 7 letters for the 7 positions and that 7 letters can also be interchanged with 7!.
10 years agoHelpfull: Yes(9) No(5)
(26-2)P7 * 2 * (26-2-7+1)!
=24P7 * 2 * 18!
10 years agoHelpfull: Yes(6) No(14)
may b the ans is 147
7 places are there
any of 24 alphabets can be at first place so 24 ways for 1st place
23 ways ways for 2nd place
22 for 3rd place and so on.. .
finally 18 ways for the 7th place
by adding all 24 to 18 we get 147
10 years agoHelpfull: Yes(3) No(2)
24p7*2*7!
10 years agoHelpfull: Yes(3) No(1)
Between A and B we want to choose 7 letters out of remaining 24 options
for choosing we take 24C7
this 7 chosen letters can be rearranged in 7! ways

7! * 24C7
also A and B can also switch places therefore
(2*7! * 24C7)

Now the assuming A(7 chosen letters)B as 1unit of 9 letters
remaining letters are 17+ this 1 unit
which can rearranged in 18! ways
hence total combination is
(2*7! * 24C7)*18! way...
10 years agoHelpfull: Yes(3) No(1)
{ (26-2)P7 } * 2 * { (26-2- 7) +1} ! ... [ as A to B letters are considered as a single letter so +1 comes]
=24P7 * 2 * 18!
10 years agoHelpfull: Yes(2) No(0)
As in 7 places there are 24p7 ways of arrangements and 2! Ways of arranging A and B
10 years agoHelpfull: Yes(1) No(0)
ans is 36*24
10 years agoHelpfull: Yes(0) No(2)
24P7*2 is d ryt ans friend
10 years agoHelpfull: Yes(0) No(0)
ans is 18!*24p7*2
10 years agoHelpfull: Yes(0) No(0)

in how many ways can letters of english alphabet be arranged so that there are seven letters between A & B, and no letter is replaced