Math, asked by devis0112, 4 months ago

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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Answers

Answered by mathdude500
2

Answer:

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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