If the letters of the word MOTHER are permute | vedclass

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Question

(D) The letters of the word $MOTHER$ are $M, O, T, H, E, R$. Arranging them in alphabetical order: $E, H, M, O, R, T$. $1$. Words starting with $E$: $

Vedclass · Accepted Answer

$309$

Vedclass · Answer

(D) The letters of the word $MOTHER$ are $M, O, T, H, E, R$. Arranging them in alphabetical order: $E, H, M, O, R, T$. $1$. Words starting with $E$: $5! = 120$ $2$. Words starting with $H$: $5! = 120$ $3$. Words starting with $M$: - $ME...$: $4! = 24$ - $MH...$: $4! = 24$ - $MO...$: - $MOE...$: $3! = 6$ - $MOH...$: $3! = 6$ - $MOM...$ (not possible) - $MOR...$: $3! = 6$ - $MOT...$: - $MOT E...$: $2! = 2$ - $MOT H...$: $2! = 2$ - $MOT R...$: $2! = 2$ - $MOT H E R$ is not possible,let's re-evaluate: Correct approach: Alphabetical order: $E(1), H(2), M(3), O(4), R(5), T(6)$. Words starting with $E$: $5! = 120$. Words starting with $H$: $5! = 120$. Words starting with $ME...$: $4! = 24$. Words starting with $MH...$: $4! = 24$. Words starting with $MOE...$: $3! = 6$. Words starting with $MOH...$: $3! = 6$. Words starting with $MOR...$: $3! = 6$. Words starting with $MOTE...$: $2! = 2$. Words starting with $MOTH E R$: $1$. Total position = $120 + 120 + 24 + 24 + 6 + 6 + 6 + 2 + 1 = 309$.

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

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