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.
Eight points lie on a circle.
[#permalink]
08 Feb 2022, 07:30
08 Feb 2022, 07:30
Expert Reply
2
Bookmarks
00:00
Question Stats:
61% (00:51) correct
38% (01:12) wrong based on 39 sessions
Hide Show timer Statistics
Eight points lie on a circle.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of triangles you can make using 3 of the given points as vertices |
The number of pentagons you can make using 5 of the given points as vertices |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Eight points lie on a circle.
[#permalink]
08 Feb 2022, 07:43
08 Feb 2022, 07:43
2
1
Bookmarks
Carcass wrote:
Eight points lie on a circle.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of triangles you can make using 3 of the given points as vertices |
The number of pentagons you can make using 5 of the given points as vertices |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Every set of 3 vertices will create a triangle.
Quantity A = the number of ways to select 3 vertices from 8 vertices.
Since the order in which we select the vertices does not matter, we can use combinations.
We can select 3 vertices from 8 vertices in 8C3 ways.
Similarly, every set of 5 vertices will create a triangle.
Quantity B = the number of ways to select 5 vertices from 8 vertices.
We can select 5 vertices from 8 vertices in 8C5 ways.
Important: Rather than calculate 8C3 and 8C5, we can use the following property that says: nCr = nC(n-r).
For example 10C3 = 10C7, and 7C2 = 7C5
So, it must be the case that 8C3 = 8C5
Answer: C
gmatclubot
Eight points lie on a circle. [#permalink]
08 Feb 2022, 07:43
Moderators:
