Use of HCR's Formula
Algebra
Level
5
All the words, obtained by permuting 11 letters A, A, C, E, H, I, M, M, S, T, T together, are arranged in the correct alphabetic order. Find out the alphabetic order of a randomly selected word "
MATHEMATICS
"
The answer is 2879661.
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Here is HCR's Rank Formula-1 to find out rank of any linear permutation in the hierarchical order of all linear permutations obtained by permuting all the articles (i.e. letters, digits & all other objects) together. It is the most versatile formula in Algebra for computation of ranks of linear permutations of all kinds of objects within or outside the field of Mathematics. .
Above link provides you detailed explanation & various examples to compute rank of any linear permutation in the simplest way.