Question

The letters of the word CRICKET are permuted in all possible ways and the words thus formed are rearranged as in a dictionary. The rank of the word CRICKET is

• A. 243
• B. 452
• C. 531
• D. 729

Answer 1

The correct option is C 531

The alphabetical order of the letters of the given word is C,C,E,I,K,R,T
The number of words begin with CC is $5!$$=120$
The number of words begin with CE is $5!$$=120$
The number of words begin with CI is $5!$$=120$
The number of words begin with CK is $5!$$=120$
The number of words begin with CRC is $4!$$=24$
The number of words begin with CRE is $4!$$=24$
The number of words begin with CRICE is $2!$$=2$
The next word is CRICKET

Rank is $120+120+120+120+24+24+2+1=531$