Permutations & Combinations
Dictionary Rank of a Word
nta_pyq_2024_jan
Grade 11

Question:

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

Step-by-Step Solution

Key Concept: Letters of GTWENTY: G, T, W, E, N, T, Y — 7 letters with T repeated twice. Alphabetical order: E, G, N, T, T, W, Y. Count all words appearing before GTWENTY.
$360+60+60+24+24+24+1=553$.
Correct Answer: 553

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