Exercise 2.4

 (8)The letters of the word ' EAMCET ' are arranged in all possible ways and the words thus  obtained are arranged  as in a dictionary. Find rank of EAMCET. 

(iii) EAMCET
Alphabetical order is A,C,E,E,M,T
No.of 6 latte word starting with A = $\frac{5!}{2!}$
No.of 6 latte word starting with C= $\frac{5!}{2!}$
No.of 6 latte word starting with EAC =3!
No.of 6 latte word starting with EAE =3!
No.of 6 latte word starting with EAMCET =1
RANK=$2\left(\frac{5!}{2!}\right)+3!+3!+1=133$