Question

The number of anagrams of the word ${}^{\prime }COLOURFU{L}^{\prime }$ is

• A. $45359$
• B. $45360$
• C. $45361$
• D. none of these

Answer 1

The correct option is A $45359$

anagrams will be the total number of arrangements of the letters of the word, other than the word itself.
Number of arrangements of ${}^{\prime }COLOURFU{L}^{\prime }$
$=\frac{9!}{2!2!2!}=45360$
$\therefore$ Number of anagrams $=45360-1=45359$