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The subsets of the set {a, b, c} are {a}, {b}, {c}, {a, b}, {a, c},
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09 Sep 2021, 10:02
09 Sep 2021, 10:02
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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
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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
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