Question
Question: The number of ways in which the letters of the word TRIANGLE can be arranged such that two vowels do...
The number of ways in which the letters of the word TRIANGLE can be arranged such that two vowels do not occur together is
A
1200
B
2400
C
14400
D
None of these
Answer
14400
Explanation
Solution
• T • R • N • G • L
Three vowels can be arrange at 6 places in 6P3 = 120 ways. Hence the required number of arrangements = 120 x 5! = 14400.