Tough and Tricky questions: Combinations.
Eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Answers:
A) 6 B) 7 C) 12 D) 16 E) 24
Number of ways First-place medal can be awarded to four contestants = 8   Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3   Therefore number of possibilities = 8 *3= 
<gadget id="calculator">8 *3</gadget>
<output>24</output>
24   Answer:24
<result>E</result>
Tough and Tricky questions: Combinations.
Eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?