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 choices
A) 6
B) 7
C) 12
D) 15
E) 24
Four 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?   We have 2 slots to be filled using 5 contestants:5 options for slot1*3 option for slot2   = 5* 3= 
<gadget id="calculator">5* 3</gadget>
<output>15</output>
15   Ans. 15) 15
<result>D</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?