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30 Oct 2014, 09:23
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
73% (00:40) correct
27%
(00:59)
wrong
based on 592
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Tough and Tricky questions: Combinations.
How many ways are there to award a gold, silver and bronze medal to 10 contending teams?
A. 10 × 9 × 8
B. 10!/(3!7!)
C. 10!/3!
D. 360
E. 300
30 Oct 2014, 17:26
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Bunuel
10 teams may receive one medal, other 9 may receive the second and the rest 8 are contenders for the third one.
10*9*8
A
16 May 2016, 13:09
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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
Total number of ways to select the 3 possible medal winners = 10 * 9 * 8
Correct answer - A
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
Total number of ways to select the 3 possible medal winners = 10 * 9 * 8
Correct answer - A
