Question

In how many different ways can the letter of the word 'RUMOUR' be arranged?

• A. 180
• B. 720
• C. 30
• D. 90
• E. None of these

Answer 1

The correct option is A 180

The word RUMOUR consists of 6 letters in which each of 'R' and 'U' comes twice.
Here, n = 6, p = 2, q =2
$\therefore$Number of arrangements,
$=\frac{6!}{2!2!}$
$=\frac{6\times 5\times 4\times 3\times 2\times 1}{2\times 2}=180$