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02 Oct 2010, 03:54
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
68% (01:07) correct
32%
(01:05)
wrong
based on 588
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Medals are to be awarded to three teams in a 10-team competition. If one medal is gold, one medal is silver, and one medal is bronze, how many different ways are there to award the three medals to teams in the competition?
A. 10!/7!
B. 10!/(3!7!)
C. 10!/3!
D. 7!/3!
E. 7!/94!3!)
A. 10!/7!
B. 10!/(3!7!)
C. 10!/3!
D. 7!/3!
E. 7!/94!3!)
02 Oct 2010, 04:46
Kudos
Bookmarks
anilnandyala
Medals are to be awarded to three teams in a 10-team competition. If one medal is gold, one medal is silver, and one medal is bronze, how many different ways are there to award the three medals to teams in the competition?
a) 10!/7!
b)10!/3! 7!
c)10!/3!
d)7!/3!
e)7!/4! 3!
pls provide answer with explanation
a) 10!/7!
b)10!/3! 7!
c)10!/3!
d)7!/3!
e)7!/4! 3!
pls provide answer with explanation
Choosing 3 teams out of 10 when order of the teams matters - \(P^3_{10}=\frac{10!}{7!}\);
Or: choosing which 3 teams out of 10 will get the medals - \(C^3_{10}\) and arranging them - \(3!\), so total - \(C^3_{10}*3!=\frac{10!}{7!}\);
Or:
1-2-3-4-5-6-7-8-9-10 (teams);
G-S-B-N-N-N-N-N-N-N (GSB - medals, N - no medal);
Permutation of 10 letters out of which 7 N's are identical is \(\frac{10!}{7!}\) (so you'll get \(\frac{10!}{7!}\) different ways of assigning the medals to the teams).
Answer: A.
Hope it's clear.
General Discussion
02 Oct 2010, 08:15
Kudos
Bookmarks
anilnandyala
Medals are to be awarded to three teams in a 10-team competition. If one medal is gold, one medal is silver, and one medal is bronze, how many different ways are there to award the three medals to teams in the competition?
a) 10!/7!
b)10!/3! 7!
c)10!/3!
d)7!/3!
e)7!/4! 3!
pls provide answer with explanation
a) 10!/7!
b)10!/3! 7!
c)10!/3!
d)7!/3!
e)7!/4! 3!
pls provide answer with explanation
Step 1 : Choose 3 teams out of 10 = C(10,3)
Step 2 : Distribute the 3 medals between these = 3!
Answer : C(10,2) * 3! = 10!/7! or (A)
