Question

The rank of the word ‘FLOWER’ is

• A. $165$
• B. $155$
• C. $145$
• D. None of these

Answer 1

Answer: (B)

Write down the letters of the word as
Step (I) $FLOWER$
Rank the letter
according to dictionary $234615$
Step (II)
Number of small numbers to the right of the letters $111200$
(Smaller than $2$ in the right of $2$ is only one number i.e. $1$, likewise for others)
Now rank of letter according to dictionary, use factorials started by $0!$ from the right to left below the every letter.

Write down product of the numbers given in block for each set

$=120+24+6+4+0+0=154$
Now to obtain the rank of word add $1$ to the sum of these product.
Hence, required rank $=154+1=155$
So the rank of the word $FLOWER$ is $155$.