Question

The letters of the word KING are permuted in all possible ways and the words thus formed are arranged as in a dictionary, the rank of the word KING is

• A. 19
• B. 16
• C. 13
• D. 14

Answer 1

The correct option is B 16

When arranged in dictionary manner, words with $G$ are formed first
Total words starting with $G$ are $3!=6$
Total words starting with $I$ are $3!=6$
Words starting with K followed by $G$ are $2!=2$
Words starting with K followed by $I$ are $KIGN$ and
$KING$.
$\therefore$ Rank of $KING$ is $6+6+2+2=16$.