Question

The number of words (with or without meaning) that can be formed from all the letters of the word ${}^{\prime \prime }LETTE{R}^{\prime \prime }$ in which vowels never come together is

• A. 120.0
• B. 120.00
• C. 120

Answer 1

Answer: (A), (B), (C)

Consonants $\to LTTR$
Vowels $\to EE$
Total Number of words $=\frac{6!}{2!2!}=180$ ($T$ and $E$ are repeated)
Total number of words if vowels are together
$=\frac{5!}{2!}=60$ ($E$ is repeated)
Required number of words $=180-60=120$