Question

The number of ways in which 4 boys and 4 girls can stand in a circle so that each boy and each girl stand one after the other, is :

• A. $3!.4!$
• B. $4!.4!$
• C. $8!$
• D. $7!$

Answer 1

The correct option is A $3!.4!$

First average boys in a circle

$\Rightarrow (4-1)!=3!$

Now,

in the $4$ spaces generlised between boys$=$ Arrange girls,

$\therefore$ number of ways

$=3!\cdot 4!$ $\to$ linear arrangement

$=6\times 24$

$=144$.