Tough and Tricky questions: Combinations.
Two 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 = 2   Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3   Therefore number of possibilities = 2 *3= 
<gadget id="calculator">2 *3</gadget>
<output>6</output>
6   6nswer:6
<result>A</result>
Tough and Tricky questions: Combinations.
Two 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?