Tough and Tricky questions: Combinations.
seven 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 one.
A) 6 B) 7 C) 12 D) 16 E) 21
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 7 contestants:7 options for slot1*3 option for slot2   = 7* 3= 
<gadget id="calculator">7* 3</gadget>
<output>21</output>
21   Ans. 21) 21
<result>E</result>
Tough and Tricky questions: Combinations.
seven 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?