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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
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:
problems - Please discuss [#permalink]
17 Aug 2009, 21:33
1
This post received KUDOS
00:00
A
B
C
D
E
Difficulty:
(N/A)
Question Stats:
0% (00:00) correct
100% (01:00) wrong based on 1 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
In a group of 8 semifinalists , all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?
a) 20 b) 56 c) 120 d) 560 e) 720
The prob of rain on each of the 5 days is 1/6, except on the first day, when it is 2/5 and on the last day when it is 4/5. what is the probability that the rain will occur on atleast one of the five days?
a) 1/675 b) 5/72 c)5/27 d) 22/27 e) 67/72
coach Miller is filling out the starting line up for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions : 1 goalkeeper , 2 on defense , 2 in mid feild , and 1 forward. Only 2 of the boys can play goal keeper and they cannot play any other positins. The other boys can play any other positions. How many different grouping are possible?
a) 60 b) 210 c) 2580 d) 3360 e) 151200
Note : All are taken from Princeton classroom book. I do not have the OA. Please discuss
Re: problems - Please discuss [#permalink]
18 Aug 2009, 11:37
tkarthi4u wrote:
In a group of 8 semifinalists , all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?
a) 20 b) 56 c) 120 d) 560 e) 720
SOL: INCORRECT WAY: 6 out of 8 will advance to the final round. This can be done in 8C6 = 28 ways Out of these 6, 3 will be awarded medals. This can be done in 6C3 = 20 ways Total ways = 28 * 20 = 560 The reason this is incorrect is that we are counting duplicate groupings here. If a different combination of 6 semifinalists go to the next round but the SAME three semifinalists win the medals we are counting them as separate groupings; this is wrong!
CORRECT WAY: A group of three medal winners can be selected from 8 semifinalists in 8C3 = 56 ways ANS: B _________________
Re: problems - Please discuss [#permalink]
18 Aug 2009, 11:45
tkarthi4u wrote:
The prob of rain on each of the 5 days is 1/6, except on the first day, when it is 2/5 and on the last day when it is 4/5. what is the probability that the rain will occur on atleast one of the five days?
a) 1/675 b) 5/72 c)5/27 d) 22/27 e) 67/72
SOL: P(Rain on atleast one of the five days) = 1 - P(Rain on none of the five days) P(Rain on none of the five days) = P(No rain on day 1) * P(No rain on day 2) * P(No rain on day 3) * P(No rain on day 4) * P(No rain on day 5) = (1 - 2/5) * (1 - 1/6) * (1 - 1/6) * (1 - 1/6) * (1 - 4/5) = 3/5 * 5/6 * 5/6 * 5/6 * 1/5 = 5/72
Thus P(Rain on atleast one of the five days) = 1 - 5/72 = 67/72
Re: problems - Please discuss [#permalink]
18 Aug 2009, 11:57
tkarthi4u wrote:
Coach Miller is filling out the starting line up for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions : 1 goalkeeper , 2 on defense , 2 in mid feild , and 1 forward. Only 2 of the boys can play goal keeper and they cannot play any other positins. The other boys can play any other positions. How many different grouping are possible?
a) 60 b) 210 c) 2580 d) 3360 e) 151200
SOL: 1 goalkeeper out of 2 can be selected in 2C1 ways [strike]The vacant 5 positions can be filled by the remaining 8 boys in 8P5 = 6720 ways[/strike]
Since number of groupings is being asked, the above calculation is not right. This is a selection question rather than an arrangement question.
Now 2 on defense can selected in 8C2 ways, 2 in midfield in 6C2 ways and 1 in forward in 4C1 ways.
Re: problems - Please discuss [#permalink]
18 Aug 2009, 13:01
tkarthi4u wrote:
In a group of 8 semifinalists , all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?
a) 20 b) 56 c) 120 d) 560 e) 720
The prob of rain on each of the 5 days is 1/6, except on the first day, when it is 2/5 and on the last day when it is 4/5. what is the probability that the rain will occur on atleast one of the five days?
a) 1/675 b) 5/72 c)5/27 d) 22/27 e) 67/72
coach Miller is filling out the starting line up for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions : 1 goalkeeper , 2 on defense , 2 in mid feild , and 1 forward. Only 2 of the boys can play goal keeper and they cannot play any other positins. The other boys can play any other positions. How many different grouping are possible?
a) 60 b) 210 c) 2580 d) 3360 e) 151200
Note : All are taken from Princeton classroom book. I do not have the OA. Please discuss
Q1, suppose A B C get into top 3, and if consider A B C as a group other than individual winner, no orders for winner, that means top 1 A, top 2 B, top 3 C is the same as top 1 B, top 2 C and top 3 A, the answer is 8C2*6C3= 560, choose D;
but if consider the orders among the winners, then the answer should be 8C2*6P3=3360
Q2, 67/72
Q3, goal keeper 2C1 defense 8C2 mid 6C2 forward 4C1 therefore, total formation 2C1*8C2*6C2*4C1=3360, answer D _________________
Re: problems - Please discuss [#permalink]
22 Aug 2009, 02:24
i get it. Thanks samrus and flyingbunny.
Judges will select 5 finanlists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants : a blue ribbon for first place, a red ribbon for second place and a yellow ribbon for third place. how many different arrangements of prize winners are possible?
Re: problems - Please discuss [#permalink]
22 Aug 2009, 05:07
tkarthi4u wrote:
i get it. Thanks samrus and flyingbunny.
Judges will select 5 finanlists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants : a blue ribbon for first place, a red ribbon for second place and a yellow ribbon for third place. how many different arrangements of prize winners are possible?
a) 10 b)21 c) 210 d) 420 )1260
So here it is 7c3 * 3! = 210
Yup. So basically we find all possible combinations of contestants in groups of 3. ie. 7C3 and then within each group 3 ribbons can be awarded in 3P3=3! ways. So, total combinations = 7C3*3!
Good question involving both permutations, combinations and also the concept of duplication +1 for the poster.
gmatclubot
Re: problems - Please discuss
[#permalink]
22 Aug 2009, 05:07