Question

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

• A. 40320
• B. 10080
• C. 64
• D. 20160
• E. None of these

Answer 1

The correct option is D 20160

The word INCREASE consists of 8 letters in which 'E' comes twice.
$\therefore$ Number of arrangements $=\frac{8!}{2!}$
$=\frac{8\times 7\times 6\times 5\times 4\times 3\times 2}{2}=20160$