Mathematics · Permutations and Combinations

JEE Main 2024 — 29 January, Shift 1 — Question 21

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

Numerical answer — enter this value.

Step-by-step solution

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

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

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

Words starting with GTE $=24$

Words starting with GTN $=24$

Words starting with GTT $=24$

GTWENTY $=1$

Total $=553$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 29 January, Shift 1
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Applications of Permuations and Combination