The number of words that can be formed by using the letters of the word 'MATHEMATICS' that start as well as end with is:

Explanation: The word is MATHEMATICS . 1. Count the letters: Total number of letters = The composition of letters is: 2. Apply the constraint: The words must start and end with . We fix one at the first position and the other at the last position: 3. Arrange the remaining letters: Remaining letters to be arranged in the middle positions are: . In these letters: repeats times. repeats times. Others are unique. Number of arrangements = 4. Calculation: Correct Option: (b)

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