GRE Prep 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.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The subsets of the set {a, b, c} are {a}, {b}, {c}, {a, b}, {a, c},
[#permalink]
09 Sep 2021, 10:02
09 Sep 2021, 10:02
1
3
Bookmarks
00:00
Question Stats:
61% (01:10) correct
38% (01:13) wrong based on 49 sessions
Hide Show timer Statistics
The subsets of the set {a, b, c} are {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}, and { } (the empty subset).
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of subsets of the set {a, b, c, d} that contain a |
10 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: The subsets of the set {a, b, c} are {a}, {b}, {c}, {a, b}, {a, c},
[#permalink]
09 Sep 2021, 11:59
09 Sep 2021, 11:59
2
1
Bookmarks
General direction: 3C3+3C2+3C1 AND 1 empty set result in (1+3+3)= 8 total arrangements
Solution: we need to find the total number of arrangements for subsets of set {a, b, c, d} and subtract from this all arrangements excluding 'a' OR all subsets of the set {b, c, d}.
4C4+4C3+4C2+4C1 AND 1 empty set less 3C3+3C2+3C1 AND 1 empty set = 1+4+6+4+1 - (1+3+3+1) = 8
Quantity A: 8
Quantity B:10
Quantity A > Quantity B
answer is B
Solution: we need to find the total number of arrangements for subsets of set {a, b, c, d} and subtract from this all arrangements excluding 'a' OR all subsets of the set {b, c, d}.
4C4+4C3+4C2+4C1 AND 1 empty set less 3C3+3C2+3C1 AND 1 empty set = 1+4+6+4+1 - (1+3+3+1) = 8
Quantity A: 8
Quantity B:10
Quantity A > Quantity B
answer is B
KarunMendiratta wrote:
The subsets of the set {a, b, c} are {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}, and { } (the empty subset).
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of subsets of the set {a, b, c, d} that contain a |
10 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: The subsets of the set {a, b, c} are {a}, {b}, {c}, {a, b}, {a, c},
[#permalink]
05 Jul 2024, 09:04
05 Jul 2024, 09:04
Expert Reply
Bump for further discussions
