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
Select the correct option
A) 24P7 * 2 * 18!	B) 24P7 * 2 * 17!	C) 24P7 * 2 * 16!	D) 24P7 * 2 * 13!	E) 24P7 * 2 * 12!
We can fix A and B in two ways with 7 letters in between them. Now 7 letters can be selected and arranged in between A and B in 24P724P7 ways. Now Consider these 9 letters as a string. So now we have  26 - 9 + 1= 
<gadget id="calculator"> 26 - 9 + 1</gadget>
<output>18</output>
18 letters   These 18 letters are arranged in 18! ways. So Answer is 2 x 24P724P7 x 18!   Infact, 2 x 24P724P7 x 18!= 36 x 24!. So go for Option B as it was given as OA.   24P7 * 2 * 18!nswer:24P7 * 2 * 18!
<result>A</result>
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