Question

The total number of flags with three horizontal strips in order, which can be formed using $2$ identical red, $2$ identical green and $2$ identical white strips is equal to

• A. $4!$
• B. $3\times (4!)$
• C. $2\times (4!)$
• D. None of these

Answer 1

The correct option is A $4!$

All strips are of different colors, then number of flags is $3!=6$.
When two strips are of same color, then number of flags is
${}^3{C}_1\times (3!/2){\times }^2{C}_1=18$. Thus total number of flags is $6+18=24=4!$