JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of words (with or without meaning) that can be formed from all the letters of the word \("LETTER"\) in which vowels never come together is
- A \(80\)
- B \(100\)
- C \(120\)
- D \(60\)
Answer & Solution
Correct Answer
(C) \(120\)
Step-by-step Solution
Detailed explanation
LETTER vowels \(= EE ,\) consonant \(= LTTR\) \(- L _{-} T _{-} T _{-} R _{-}\) \(\frac{4 !}{2 !} \times{ }^{5} C _{2} \times \frac{2 !}{2 !}=12 \times 10=120\)
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