Examveda

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

A. 360

B. 720

C. 5040

D. 2520

E. None of these

\eqalign{ & = \frac{{7!}}{{2!}} \cr & = \frac{{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{2} \cr & = 2520 \cr}