Tough and Tricky questions: Combinations.
Eight students - 4 boys and 4 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? Select the correct option:
A) 12	B) 36	C) 72	D) 240	E) 1152
We can have 2 arrangements:   BGBGBGBG or GBGBGBGB   4!*4!*2 = 24*24*2= 
<gadget id="calculator">24*24*2</gadget>
<output>1_152</output>
1152 ways.   Ans. 1152) 1152
<result>E</result>
Tough and Tricky questions: Combinations.
Eight students - 4 boys and 4 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?