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

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Solution

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 $K I G N$ and
$K I N G$ .
$∴$ Rank of $K I N G$ is $6 + 6 + 2 + 2 = 16$ .

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The correct option is B 16When arranged in dictionary manner, words with G are formed firstTotal words starting with G are 3!=6Total words starting with I are 3!=6Words starting with K followed by G are 2!=2Words starting with K followed by I are KIGN andKING.∴ Rank of KING is 6+6+2+2=16.