Question

If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.

Options

• 307.00

• 308.00

• 309.00

• 310.00

Answer 1

If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is 309.00.

Explanation:

MOTHER → E

2 → H

3 → M

4 → O

5 → R

6 → T

So position of word MOTHER in dictionary

2 × 5! + 2 × 4! + 3 × 3! + 2! + 1

= 240 + 48 + 18 + 2 + 1

= 309