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 ranks of the words.
1) REMAST 2) MASTER
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Rank of REMAST
Arrange alphabets in dictionary order
A, E, M, R, S, T.
Rank = 3(5!) + 1(4!) + 1(3!) + 0 + 0 + 1 = 360 + 24 + 6 + 1 = 391
Rank of MASTER
Arrange alphabets in dictionary order
A, E, M, R, S, T.
Rank = 2(5!) + 0 + 2(3!) + 2(2!) + 0 + 1 = 240 + 12 + 4 + 1 = 257
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