How many ways are there to award a gold, silver, bronze and platinum medal to 10 contending teams?
Select the correct option:
A) 10 × 9 × 8  B) 10!/(3!7!)  C) 10!/3!  D) 10!7  E) 10 * 9 * 8 * 7
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 9 teams can be considered for silver medal. we can do selection in 9 ways   similarly if gold and silver medals are awarded then only remaining 8 teams can be considered for a bronze medal. we can do the selection in 8 ways   similarly if gold and silver medals are awarded then only remaining 7 teams can be considered for a bronze medal. we can do the selection in 7 ways   Total number of ways to select the 4 possible medal winners = 10 * 9 * 8 * 7   Correct answer - 10 * 9 * 8 * 7
<result>E</result>
How many ways are there to award a gold, silver, bronze and platinum medal to 10 contending teams?