Shelleb17 wrote:

How many words can be formed from the letters of the word ADROIT, which neither begin with T nor end in A ?

Thanks Guys

Here order of letters matters. Therefore, this is a case of permutation.

There are 6 letters. The followings are the positions of 5 letters "ADROIT": 123456

Since T cannot be placed in the first place and A in last place, 5 letters are accounted for rest of the five places.

Here is a little confusion: Whether the repetition of letter is allowed.

1. If repetition allowes: 4x6^5

2. If repetition is not allowed: 6! - 5! - 5! + 4! = 504

6! = total possibilities

5! = T at the first place

5! = A at the last place

4! = Repetation of "T at the first place while A at the last place" or "A at the last place while T at the first place"

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