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 (integer)
50400
Solution
Vowels : A,A,A,I,I,O
<br/><br/>Consonants : S,S,S,S,N,N,T
<br/><br/>$\therefore$ Total number of ways in which vowels come together
<br/><br/>$=\frac{8 !}{4 ! 2 !} \times \frac{6 !}{3 ! 2 !}=50400$
About this question
Subject: Mathematics · Chapter: Permutations and Combinations · Topic: Fundamental Counting Principle
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