# If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed

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If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ......

Numerical Value Type

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verified

Ans. (309.00)

Sol.

M  O  T  H  E  R

3   4   6   2  1   5

$\implies$ 2 5! + 2 4! + 3 3! + 2! + 1 = 240 + 48 + 18 + 2 + 1 = 309