If the letters of the word MASTER are permuted in all possible ways and the words thus formed are arranged in the dictionary order, then find the rank of the word '' REMAST ''

Hello student,

The alphabetical order of the letters of the given word is A, E, M, R, S, T
The number of words begin with A is 5! = 120
The number of words begin with E is 5! = 120
The number of words begin with M is 5! =120
The number of words begin with RA is 4! = 24
The number of words begin with REA is 3! = 6
The next word is REMAST .
∴Rank of the word REMAST - 3 (120) + 24 + 6 + 1 = 360 + 31 = 391

Thanks and Regards

Shaik Aasif

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