JEE MAIN - Mathematics (2024 - 29th January Morning Shift - No. 27)

All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a dictionary. The serial number of the word "GTWENTY" is _________.
Answer
553

Explanation

Words starting with $$\mathrm{E}=360$$

Words starting with $$\mathrm{GE=60}$$

Words starting with $$\mathrm{GN=60}$$

Words starting with $$\mathrm{GTE=24}$$

Words starting with $$\mathrm{GTN=24}$$

Words starting with $$\mathrm{GTT=24}$$

GTWENTY $$=1$$

Total $$=553$$

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