Verified Solution • 2025–26 Session
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QJEEM21Maf6cd: JEE Main 2021 Mathematics - Class 11 JEEM21Maf6cd Solution: The number of six letter words (with or without meaning),…
The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is ___________.
Step-by-Step Verified Solution
Total possible words = 6! = 720
When 4 consonants are together (V, W, L, S)
such cases = 3! ⋅ 4! = 144
All consonants should not be together
= Total All consonants together,
= 6! 3! 4! = 576
When 4 consonants are together (V, W, L, S)
such cases = 3! ⋅ 4! = 144
All consonants should not be together
= Total All consonants together,
= 6! 3! 4! = 576