Question

Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word DEADLINE?

A.
8!
B.
8!/4!
C.
8!/2!+2!
D.
8!/2!*2!

I think the answers D but im not sure

Answer 1

Option D

Explanation:

See the letters in the word deadline.

We have d and e repeated twice , and a,l,i,n once.

There are in total 8 letters

These 8 letters can be arranged in 8x7x6...1 = 8! ways

But since there are repititions of letters, we have 2! x 2! times repeated letters.

Hence we have to divide by 2!x2!

No of ways =
`(8!)/(2!*2!)`

Option D is right