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?	Select.
A) 6
B) 7
C) 12
D) 16
E) 21
Number of ways First-place medal can be awarded to four contestants = 7   Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3   Therefore number of possibilities = 7*3= 
<gadget id="calculator">7*3</gadget>
<output>21</output>
21   Answer: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?