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  • If the letter 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 _____ Option: 1 246 Opti

If the letter 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 _____
Option: 1 246
Option: 2 204
Option: 3 309
Option: 4 289

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best_answer

\begin{aligned} &\text { MOTHER }\\ &1 \rightarrow \mathrm{E}\\ &2 \rightarrow \mathrm{H}\\ &3 \rightarrow \mathrm{M}\\ &4 \rightarrow \mathrm{O}\\ &5 \rightarrow \mathrm{R}\\ &6 \rightarrow \mathrm{T} \end{aligned}

So position of word MOTHER in dictionary

2 × 5! + 2 × 4! + 3 × 3! + 2! + 1 = 240 + 48 + 18 + 2 + 1 = 309

Posted by

himanshu.meshram

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