Latest Elitmus Aptitude Question SOLUTION: a 4*4 matrix has 16 points. find the probability of making triangle from this points?

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(#M40152203) ELITMUS Numerical Ability question quantitive Keep an EYE

a 4*4 matrix has 16 points. find the probability of making triangle from this points?

Asked In Elitmus kankana sarkar (8 years ago)

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Read Solution (9) :

pradeep sharma  (8 years ago)

123/140
16c3-(10*4c3+4*3c3)
triangle will not form when points are in straight line
516
516/540=123/140

Is this solution Helpfull? Yes (18) | No (7)  

bhagya shri  (8 years ago)

ans= 516/560

Is this solution Helpfull? Yes (14) | No (1)  

Kunal Wadhwa  (8 years ago)

Ans will be 516/560 i.e 129/140

Is this solution Helpfull? Yes (7) | No   

Ayush Barnawal  (6 years ago)

4 x 4 matrix:- . . . .
. . . .
. . . .
. . . .

so, total possible triangles formed = 16c3
and,
for 4 rows and 4 columns :- 4c3 * (4 +4) = 32
for 2 diagonals formed:- 4c3 * 2 = 8
for side-diagonals with 3 points:- 3c3 * 4 = 4

So, probability of forming a triangle,
1 - (32 + 8 + 4)/16c3 = 516/560

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Soumen Maity  (8 years ago)

ans: 67/70

Sol: we have to choose 3 points out of 16 point.
So, 16C3
now among them 4points in 4 col and 4 row..... we cannot choose 3 points from them so
16C3-(4C3*8)
now we can take 4 points to draw one side of the triangle...... so it is 8C1
So total triangle we can make 16C3-(4C3*8) +8C1= 536

So, the probability of Triangle is 536/16C3
= 536/560
=67/70


Pls correct me If I am wrong

Is this solution Helpfull? Yes (1) | No (12)  

GAUTAM   (8 years ago)

This was asked in elitmus exam on 5th july ? results are out ?

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Bhavya Jain  (8 years ago)

The probability of amkeing triangle from 16 points is 28

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rajdeep pal  (8 years ago)

4*(4c1*4c2)/16c3

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ARKAJIT NANDY  (8 years ago)

if there are no co-linear points answer would be 16c3
but there are co-linear points
there are 9 straight lines which each contain 4 points
2 straight lines which each contain 3 points.
we have to exclude these points
so the ans=16c3 - (9 X 4c3) - (2 X 3c3)
=102

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