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Question

Mathematics Question on permutations and combinations

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________

Answer

The correct answer is 50400
Vowels : A,A,A,I,I,O
Consonants : S,S,S,S,N,N,T
∵ Total number of ways in which vowels come together
=⌊4⌊2⌊8​×⌊3⌊2⌊6​=50400