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:
Quant Quizzes are back with a Bang and with lots of Prizes. The first Quiz will be on 8th Dec, 6PM PST (7:30AM IST). The Quiz will be Live for 12 hrs. Solution can be posted anytime between 6PM-6AM PST. Please click the link for all of the details.
Join IIMU Director to gain an understanding of DEM program, its curriculum & about the career prospects through a Q&A chat session. Dec 11th at 8 PM IST and 6:30 PST
Enter The Economist GMAT Tutor’s Brightest Minds competition – it’s completely free! All you have to do is take our online GMAT simulation test and put your mind to the test. Are you ready? This competition closes on December 13th.
Attend a Veritas Prep GMAT Class for Free. With free trial classes you can work with a 99th percentile expert free of charge. Learn valuable strategies and find your new favorite instructor; click for a list of upcoming dates and teachers.
Jack is making a list of his 5 favorite cities. He will choose 3 citie
[#permalink]
Show Tags
09 May 2017, 12:48
2
5
00:00
A
B
C
D
E
Difficulty:
75% (hard)
Question Stats:
48% (01:33) correct 52% (01:32) wrong based on 113 sessions
HideShow timer Statistics
Jack is making a list of his 5 favorite cities. He will choose 3 cities in the United States from a list of 5 candidates. He will choose 2 cities in Europe from a list of 3 candidates. How many different lists of cities, ranked from first to fifth, can Jack make?
Re: Jack is making a list of his 5 favorite cities. He will choose 3 citie
[#permalink]
Show Tags
03 Nov 2017, 08:48
3
Top Contributor
1
SajjadAhmad wrote:
Jack is making a list of his 5 favorite cities. He will choose 3 cities in the United States from a list of 5 candidates. He will choose 2 cities in Europe from a list of 3 candidates. How many different lists of cities, ranked from first to fifth, can Jack make?
A. 30 B. 360 C. 1,800 D. 3,600 E. 6,720
Take the task of creating a list and break it into stages.
Stage 1: Select 3 US cities Since the order in which we SELECT the cities does not matter, we can use combinations. We can select 3 cities from 5 cities in 5C3 ways (10 ways) So, we can complete stage 1 in 10 ways
Stage 2: Select 2 European cities Since the order in which we SELECT the cities does not matter, we can use combinations. We can select 2 cities from 3 cities in 3C2 ways (3 ways) So, we can complete stage 2 in 3 ways
Stage 3: Arrange the 5 selected cities We can arrange n unique objects in n! ways. So, we can arrange the 5 selected cities in 5! ways (120 ways) We can complete this stage in 120 ways.
By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and thus create our list) in (10)(3)(120) ways (= 3600 ways)
Re: Jack is making a list of his 5 favorite cities. He will choose 3 citie
[#permalink]
Show Tags
09 May 2017, 13:12
Ways of choosing his top 3 american cities from a list of 5: 5c3 Ways of choosing his top 2 american cities from a list of 3: 3c2 Ways of arranging them in order from 1 to 5: 5!
Re: Jack is making a list of his 5 favorite cities. He will choose 3 citie
[#permalink]
Show Tags
19 Nov 2019, 19:20
1
SajjadAhmad wrote:
Jack is making a list of his 5 favorite cities. He will choose 3 cities in the United States from a list of 5 candidates. He will choose 2 cities in Europe from a list of 3 candidates. How many different lists of cities, ranked from first to fifth, can Jack make?
A. 30 B. 360 C. 1,800 D. 3,600 E. 6,720
If the ranking doesn’t matter, there are 5C3 x 3C2 lists of 5 cities. However, since, for each list of the 5 cities, there are 5! ways to rank the cities from first to fifth, the total number of ranked lists is: