Tough and Tricky questions: Combinations.
Six 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? Pick
A) 6  B) 7  C) 12  D) 18  E) 24
Number of ways First-place medal can be awarded to four contestants = 6   Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3   Therefore number of possibilities = 6 *3= 
<gadget id="calculator">6 *3</gadget>
<output>18</output>
18   Answer:18
<result>D</result>
Tough and Tricky questions: Combinations.
Six 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?