Verified Solution • 2025–26 Session moderate

QJEEM20Maaeea: JEE Main 2020 Mathematics - Class 11 JEEM20Maaeea Solution: The number of words (with or without meaning) that can be…

The number of words (with or without meaning) that can be formed from all the letters of the word “LETTER” in which vowels never come together is ________ .

Step-by-Step Verified Solution

Consonants →\to LTTR
Vowels →\to EE

Total No of words = 6!2!2!{{6!} \over {2!2!}} = 180

Total no of words if vowels are together
= 5!2!{{5!} \over {2!}} = 60

∴\therefore Total no of words where
vowels never come together = 180 – 60 = 120.

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