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:
A) 12	B) 36	C) 72	D) 240	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?