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

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
How many ways are there to award a gold, silver and bronze medal to 10  [#permalink]

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30 Oct 2014, 09:23
00:00

Difficulty:

15% (low)

Question Stats:

73% (00:41) correct 27% (01:02) wrong based on 233 sessions

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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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Re: How many ways are there to award a gold, silver and bronze medal to 10  [#permalink]

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30 Oct 2014, 17:26
1
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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Senior Manager
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Re: How many ways are there to award a gold, silver and bronze medal to 10  [#permalink]

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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
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How many ways are there to award a gold, silver and bronze medal to 10  [#permalink]

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16 May 2016, 13:32
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]

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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?
Manager
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 121
Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23
GMAT 2: 560 Q42 V26
GPA: 3.5
WE: Consulting (Computer Hardware)
Re: How many ways are there to award a gold, silver and bronze medal to 10  [#permalink]

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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  [#permalink]

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29 Jan 2019, 04:18
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Re: How many ways are there to award a gold, silver and bronze   [#permalink] 29 Jan 2019, 04:18
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