How many ways are there to award a gold, silver and bronze medal to 6 contending teams? Choose the correct choice from the following answers
A) 10 × 9 × 8 B) 10!/(3!7!) C) 6!/3! D) 564 E) 6 * 5 * 4
we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 10 ways   if gold medal is given to 1 of the teams then only possible 5 teams can be considered for silver medal. we can do selection in 5 ways   similarly if gold and silver medals are awarded then only remaining 4 teams can be considered for a bronze medal. we can do the selection in 4 ways   Total number of ways to select the 3 possible medal winners = 6 * 5 * 4   Correct answer - 6 * 5 * 4
<result>E</result>
How many ways are there to award a gold, silver and bronze medal to 6 contending teams?