JEE Mains · Maths · STD 11 - 6. permutation and combination
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 \(.............\).
- A \(50200\)
- B \(50100\)
- C \(50400\)
- D \(50300\)
Answer & Solution
Correct Answer
(C) \(50400\)
Step-by-step Solution
Detailed explanation
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 \(=\frac{\underline{8}}{\lfloor 4 \mid 2} \times \frac{\lfloor\underline{6}}{\lfloor\underline{3} \mid 2}=50400\)
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