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  4. The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is

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Q. The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is________

JEE MainJEE Main 2023Permutations and Combinations

Solution:

Vowels : $A,A,A,I,I,O$
Consonants : $S,S,S,S,N,N,T$
$\because$ Total number of ways in which vowels come together
$=\frac{\lfloor {8}}{\lfloor 4 \lfloor 2} \times \frac{\lfloor {6}}{\lfloor{3} \lfloor 2}=50400$