Permutation And Combination Ques 1

Question-

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

(1) 180

(2) 720

(3) 30

(4) 90

(5) None of these

(Corporation Bank Specialist Officer (Marketing) Exam. 22.02.2014)

Show Answer

Correct Answer: (1)

Solution: (1)

The word RUMOUR consists of 6 letters in which each of $R$ and $U$ comes twice.

$\therefore$ Number of arrangements $=\frac{6 !}{2 ! 2 !}=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 2}$ $=180$