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# connecting lines

Author Message
Intern
Joined: 02 Nov 2009
Posts: 20

Kudos [?]: 74 [0], given: 9

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21 Apr 2010, 01:31
00:00

Difficulty:

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Question Stats:

100% (00:03) correct 0% (00:00) wrong based on 0 sessions

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In a certain province in France there are 15 villages. How many roads are required in order to connect each village to all of the others?

[Reveal] Spoiler:
105

Kudos [?]: 74 [0], given: 9

Senior Manager
Joined: 19 Nov 2009
Posts: 315

Kudos [?]: 97 [1], given: 44

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21 Apr 2010, 01:44
1
KUDOS
It's 105..

The formula used is : n * (n-1) /2 --> 15 * 14 / 2 --> 105
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Kudos [?]: 97 [1], given: 44

Intern
Joined: 07 Apr 2010
Posts: 25

Kudos [?]: 14 [0], given: 6

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21 Apr 2010, 11:11
no: of ways of selecting 2 villages among 15 = 15C2 = 105
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just another idiot!

Kudos [?]: 14 [0], given: 6

Intern
Joined: 08 Apr 2010
Posts: 28

Kudos [?]: 12 [0], given: 3

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21 Apr 2010, 22:11
sudai wrote:
In a certain province in France there are 15 villages. How many roads are required in order to connect each village to all of the others?

[Reveal] Spoiler:
105

hi,
to connect 2 villages, we need to select 2 of them out of 15.
that can be done in 15C2 ways = 105 ways.
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CHEERS
fivezero7

Kudos [?]: 12 [0], given: 3

Re: connecting lines   [#permalink] 21 Apr 2010, 22:11
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