Six students - 3 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?  Choose the correct choice from the following options:
A) A)12
B) B)36
C) C)72
D) D)240
E) E)720
in order not to have two boys or two girls next to one another, we must make an alternate sitting arrangement. (B-G-B-G-B-G) or (G-B-G-B-G-B).   Total ways = 2721*3!*3!   =2*6*6= 
<gadget id="calculator">2*6*6</gadget>
<output>72</output>
72   Ans - 72
<result>C</result>
Six students - 3 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?