Tough and Tricky questions: Combinations.
Five 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?
Choose the correct choice from the following options
A) 6
B) 7
C) 15
D) 16
E) 24
Number of ways First-place medal can be awarded to four contestants = 5   Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3   Therefore number of possibilities = 5 *3= 
<gadget id="calculator">5 *3</gadget>
<output>15</output>
15   Answer:15
<result>C</result>
Tough and Tricky questions: Combinations.
Five 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?