Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

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

a) 360
b) 720
c) 5040
d) 2520

Answer: d
Explanation: The given word contains 7 letters out of which E is taken 2 times and all other letters are different .
∴ Required number of ways
$$\eqalign{ & = \frac{{7!}}{{2!}} \cr & = \frac{{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{2} \cr & = 2520 \cr} $$

Join The Discussion