Question

If the letter of the word $LATE$ be permuted and the words so formed be arranged as in a dictionary . Then the rank of $LATE$ is :

• A. $12$
• B. $13$
• C. $14$
• D. $15$

Answer 1

The correct option is C $14$

LATE

No. of words that start with 'A'

$\Rightarrow 3!=6$

No. of words that start with E

$\Rightarrow 3!=6$

$6+6=12$

${13}^{th}$ word starts with L

${13}^{th}$ word = LAET

${14}^{th}$ word = LATE

$\therefore$ Rank of LATE is $14$