Question

In how many ways can the letters of the English alphabet be arranged so that there are seven letters between the
letters A and B?

Answer 1

Step-by-step explanation:

1.excluding A and b.

2.there is a total of 24 letters in the alphabet.

3.out of that 7 letter will be selected and arrange between them .

A_ _ _ _ _ _ _ B and remaining 17

So moving this A and B 1 step to the right . still we have 7 letters in between.

So A and B can be shifted in the same manner to 18 more places.

Now SAME CAN BE APPLICABLE TO B_ _ _ _ _ _ _A SO 18 HERE.

NOW REMAINING ALPHABET ARE 24.

-> 18*2*24!

I.E. --> 36*24!