Question

Different words are being formed by arranging the letters of word 'SUCCESS'.
The rank of the word 'SUCCESS' in the dictionary if all the words are written as in a dictionary is

• A. 328
• B. 329
• C. 330
• D. 331

Answer 1

Answer: (D)

Number of words beginning with $C=\frac{6!}{3!}=120$

Number of words beginning with $E=\frac{6!}{3!2!}=60$

Number of words beginning with $SC=\frac{5!}{2!}=60$

Number of words beginning with $SE=\frac{5!}{2!2!}=30$

Number of words beginning with $SS=\frac{5!}{2!}=60$

First words beginning with $SU$ is $SUCCESS$
$\therefore$ The rank of the word $SUCCESS$ is
$=120+60+60+30+60+1=331$