Latest MBA Aptitude Question SOLUTION: A B C D ARE FOUR TOWNS, ANY THREE OF WHICH ARE NON COLLINEAR.NUMBER OF WAYS TO CONSTRUCT THREE ROADS EACH JOINING A PAIR OF TOWN SO THAT ROADS DO NOT FORM A TRIANGLE IS:CAT 1995...

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(#M40016565) MBA Logical Reasoning question number systems, progressions Keep an EYE

A B C D ARE FOUR TOWNS, ANY THREE OF WHICH ARE NON COLLINEAR.NUMBER OF WAYS TO CONSTRUCT THREE ROADS EACH JOINING A PAIR OF TOWN SO THAT ROADS DO NOT FORM A TRIANGLE IS:CAT 1995....DONT KNOW OA

1) 7
2) 8
3) 9
4) MORE THAN 9

Asked In MBA (11 years ago)

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Dr.Dipin Singh  (11 years ago)

More than 9

4 triangles are possible when 1 town is not connected.
choosing 3 pairs out of 6 possible pairs = 6C3 = 20

NUMBER OF WAYS TO CONSTRUCT THREE ROADS EACH JOINING A PAIR OF TOWN SO THAT ROADS DO NOT FORM A TRIANGLE = 20-4=16

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shreeprakash  (8 years ago)

To construct 2 roads, three towns can be selected out of 4 in 4 x 3 x 2 = 24 ways. Now, if the third road goes from the third town to the first town, a triangle is formed and if it goes to the fourth town, a triangle is not formed. So there are 24 ways to form a triangle and 24 ways of avoiding a triangle.

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vijay pandey  (7 years ago)

dont need to copy paste mr. Prakash

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