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

In how many different ways can the letters of the word RUMOUR be arranged? Correct Answer 180

The given word contains 6 letter out of which R is taken 2 times, U is taken to 2 times and other letters are all different.
∴ Required number of ways
$$\eqalign{ & = \frac{{6!}}{{2! \times 2!}} \cr & = \frac{{6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{2 \times 2}} \cr & = 180 \cr} $$
Bissoy MCQ

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