Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Medals are to be awarded to three teams in a 10-team [#permalink]
02 Oct 2010, 02:54

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

62% (01:17) correct
38% (00:29) wrong based on 54 sessions

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!)

Re: medals are to be aworded [#permalink]
02 Oct 2010, 03:46

1

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

anilnandyala wrote:

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

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).

Re: medals are to be aworded [#permalink]
02 Oct 2010, 07:15

anilnandyala wrote:

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

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) _________________

Re: Medals are to be awarded to three teams in a 10-team [#permalink]
19 Aug 2014, 22:44

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________