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If the letters of the word EAMCET are permuted in all possible ways and if the words thus
formed are arranged in the dictionary order, find the rank of the word EAMCET.

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answer is 1.

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Detailed Solution

The alphabetical words of the letters of the given word is A, C, E, E, M, T

E	A	M	C	E	T
A	-	-	-	-	-	$= \frac{5!}{2!}$	=60
C	-	-	-	-	-	$= \frac{5!}{2!}$	=60
E	A	C	-	-	-	$= 3!$	=6
E	A	E	-	-	-	$= 3!$	=6
E	A	M	C	E	T	=1	=1
							133

the no.of words begin with

the no.of words begin with

the no.of words begin with

the no.of words begin with

the no.of words begin with

∴ Rank of the word EAMCET = 133

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