How many different words can be formed with the letters of the word ‘M A I M I T A L’ such that each of the word begins with L and ends with T?

A 78

B 128

C 180

D 90

E None of these

Solution

Correct Answer: Option D

When L and T are fixed as first and last letters of the word, then we have only 6 letters to arrange.

Hence, required number of words  \(= {{!6} \over {!2 \times !2 \times !2}} = {{720} \over 8} = 90\)\({!2 × !2 × !2 ⇒ because M, A I occurs two times}.\)

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