How many ways are there to award a gold, silver and bronze medal to 8 contending teams? Pick
A) 10 × 9 × 8
B) 8 * 7 * 6
C) 8!/3!
D) 876
E) 758
we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 8 ways   if gold medal is given to 1 of the teams then only possible 7 teams can be considered for silver medal. we can do selection in 7 ways   similarly if gold and silver medals are awarded then only remaining 6 teams can be considered for a bronze medal. we can do the selection in 6 ways   Total number of ways to select the 3 possible medal winners = 8 * 7 * 6   Correct answer - 8 * 7 * 6
<result>B</result>
How many ways are there to award a gold, silver and bronze medal to 8 contending teams?