Question

In how many ways can the letters of the word ‘REFRIGERATOR’ be arranged?

• A. $10!\times 2!$
• B. 12!
• C. $\frac{12!}{4!}$
• D. $\frac{12!}{4!\times 2!}$

Answer 1

The correct option is D $\frac{12!}{4!\times 2!}$

Number of letters = 12. ‘R’ gets repeated 4 times and E gets repeated twice.
Hence, total number of arrangements $=\frac{12!}{4!\times 2!}$