If all the letters of the word MASTER are per | vedclass

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(C) The letters of the word $MASTER$ in alphabetical order are: $A, E, M, R, S, T$.To find the rank of $MASTER$,we count the words that come before it

Vedclass · Accepted Answer

$257$

Vedclass · Answer

(C) The letters of the word $MASTER$ in alphabetical order are: $A, E, M, R, S, T$.To find the rank of $MASTER$,we count the words that come before it in dictionary order:$1$. Words starting with $A$: $5! = 120$$2$. Words starting with $E$: $5! = 120$$3$. Words starting with $MA E...$: $3! = 6$$4$. Words starting with $MA R...$: $3! = 6$$5$. Words starting with $MA S E...$: $2! = 2$$6$. Words starting with $MA S R...$: $2! = 2$$7$. The next word is $MASTER$: $1$Total rank $= 120 + 120 + 6 + 6 + 2 + 2 + 1 = 257$.

If all the letters of the word $MASTER$ are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order,then the rank of the word $MASTER$ is

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