Tough and Tricky questions: Combinations.
six 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 answers.
A) 6  B) 7  C) 18  D) 16  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 6 contestants:6 options for slot1*3 option for slot2   = 6* 3= 
<gadget id="calculator">6* 3</gadget>
<output>18</output>
18   Ans. 18) 18
<result>C</result>
Tough and Tricky questions: Combinations.
six 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?