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In the table below, what is the least number of table entries that are
[#permalink]
13 Aug 2023, 23:10
13 Aug 2023, 23:10
Expert Reply
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Question Stats:
75% (01:24) correct
25% (02:43) wrong based on 4 sessions
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In the table below, what is the least number of table entries that are needed to show the distance between each Town and each of the other four towns?
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10
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In the table below, what is the least number of table entries that are
[#permalink]
27 Aug 2023, 03:19
27 Aug 2023, 03:19
Expert Reply
OE
In this question, we need to find the distance between a town with another.
Let’s denote the distance from A to B as AB.
The distance from B to D as BD, and so on….
Here, we observe that distance AB is same as BA, because they both show the distance
between town A and town B.
Since, order doesn’t make any difference here, we’ll apply combination.
To figure out the distance between two positions, we need two positions or we say two
towns.
We want to select 2 towns (who’s distance to be shown) from total 5 towns.
Number of ways to do that:
\(C^5_2\)
\(C=\frac{5!}{2!(5!-2!)}=10\)
In this question, we need to find the distance between a town with another.
Let’s denote the distance from A to B as AB.
The distance from B to D as BD, and so on….
Here, we observe that distance AB is same as BA, because they both show the distance
between town A and town B.
Since, order doesn’t make any difference here, we’ll apply combination.
To figure out the distance between two positions, we need two positions or we say two
towns.
We want to select 2 towns (who’s distance to be shown) from total 5 towns.
Number of ways to do that:
\(C^5_2\)
\(C=\frac{5!}{2!(5!-2!)}=10\)
gmatclubot
In the table below, what is the least number of table entries that are [#permalink]
27 Aug 2023, 03:19
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