Question

The number of ways of arranging 6 boys and 6 girls in a row so that boys and girls come alternatively

• A. 6! 6!
• B. 7! 6!
• C. 7.6! 6!
• D. 2.6! 6!

Answer 1

The correct option is D 2.6! 6!

The row may begin with either a boy or a girl (2 ways)
If it begins with a boy, then the odd places will be occupied by boy and even places by girls i.e., 6! 6!.
$\therefore$ required number of ways = 2.6! 6!