Question

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. 1440

Answer 1

The correct option is C

14400

$\circ T\circ R\circ N\circ G\circ L\circ$

Three vowels can be arrange at 6 places in ${}^6{P}_3$ = 120 ways. Hence the required number of arrangements = $120\times 5!$ =14400.