Events & Promotions
|
|
GMAT Club Daily Prep
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
22 Jan 2018, 09:32
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
41% (02:20) correct
59%
(02:26)
wrong
based on 22
sessions
History
Date
Time
Result
Not Attempted Yet
The host of a television debate show has to select a 4-member discussion panel out of a list of 22 willing candidates that includes 5 politicians and 6 businessmen. If the list includes candidates from at least 4 professions and no two members of the discussion panel are to be of the same profession, then in how many ways can the panel be constituted?
(1) The list includes 5 journalists and 2 authors
(2) The list includes only 1 profession from which there are fewer than 3 candidates
(1) The list includes 5 journalists and 2 authors
(2) The list includes only 1 profession from which there are fewer than 3 candidates
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
22 Jan 2018, 10:03
Kudos
Bookmarks
saswata4s
Hi..
We do not have to find answer, but we require to know is NUMBER of professions and members in each..
1) gives us 5 journalists and 2 authors.
So total 4 professions are known and they consist of 5+6+5+2=18..
So there are 4 more but they could be from different professions or from same or from 2 professions, so answers will be different everytime..
Insuff
2) only one profession has less than 3..
Insufficient..
Combined..
Less than 3 is 2 author so remaining have to be more than or equal to 3..
18 is given ... Only possiblity is all 22-18=4 are from same profession as they cannot be divided in two with each having 3 or more..
Sufficient... Number in each profession are 5,6,5,2,4 ..total 22
C
22 Jan 2018, 20:04
Kudos
Bookmarks
chetan2u
Hi chetan2u,
Yes we got 5,6,5,2,4 as numbers in each profession.
But for 'how many possible ways', wouldn't the answer be different for different combinations of professions here?
Suppose 1 person is selected from first 4 professions: 5C1 + 6C1 + 5C1 + 2C1- So no. of possible ways =18
But if we select 1 person from last 4 professions: it will be 17.
Could you please tell where I am going wrong?
