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How many ways are there to award a gold, silver and bronze medal to 10

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Bunuel
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How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   30 Oct 2014, 09:23
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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
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A
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Re: How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   30 Oct 2014, 17:26
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Bunuel wrote:

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


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
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Re: How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   16 May 2016, 13:09
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
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How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   16 May 2016, 13:32
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Since there is no requirement for any order.

The number of a ways a team can be chosen for the Gold medal = 10
Given the gold medal is taken, the number of ways to choose a team for the Silver medal = 9
Given the two above, the number of ways to choose a team for the Bronze medal = 8

Total permutations = 10x9x8. A

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Re: How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   08 Jun 2016, 06:27
UmangMathur wrote:
Bunuel wrote:

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


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


little variant

How many ways are there to award 3 medals to 10 contending countries(a country can win all the medals)?
what would be the answer to this question? 310?
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Re: How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   08 Jun 2016, 06:31
Bunuel wrote:

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


10C3*3!

10C3=>choose any 3 of the contending teams
3!=>How many ways each team may win any of the three medals
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Re: How many ways are there to award a gold, silver and bronze medal to 10 [#permalink] New post   13 Oct 2022, 04:49
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arrange 3 in 10 position =10C3
since order matters multiply with 3!
so total no of ways =10C3×3!=10×9×7
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Re: How many ways are there to award a gold, silver and bronze medal to 10 [#permalink]
13 Oct 2022, 04:49
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