letters of the word 'MOTHER' are arranged in all possible ways and the words(with or without meaning)so obtained are arranged as in a dictionary.what is the position of the word mother in this arrangement

Dear student,Let arrange it in alphabhet orderly:E,H,M,OR,TE _____=word can be formed=5×4×3×2×1=120H _____=word can be formed=5×4×3×2×1=120ME _ ___=word can be formed=4×3×2×1=24MH ____=word can be formed=4×3×2×1=24MOE _ __=word can be formed=3×2×1=6MOH ___=word can be formed=3×2×1=6MOR___=word can be formed=3×2×1=6MOTE __=word can be formed=2×1=2MOTHER So, MOTHERis (120+120+24+24+6+6+6+2+1)th =309th position Regards

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