Latest Elitmus Aptitude Question SOLUTION: 4*4 matrix so 16 blocks each in each block u can select a point , wht is the probability that the points selected creates a triangle a triangle

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4*4 matrix so 16 blocks each in each block u can select a point , wht is the probability that the points selected creates a triangle a triangle

Asked In Elitmus Krishanu chatterjee (10 years ago)

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Gaurav Malhotra  (9 years ago)

total num of unfavourable cases are 44 out of 560
so prob is = 560-44/560 = 516/560

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vinod  (10 years ago)

for 4*4 matrix, let us proceed in opposite direction, let us calculate the num of combinations with which we cant create a triangle
1)consider the 1st column; if u take any three points of the first column, u cant create a triangle, so by using those four points, 4c3 combo are available which cant create a triangle
such 4 columns are present in total
here 4+4+4+4=16 combinations
2) now take row wise
same as above so here also 4+4+4+4=16 combinations
3) now diagonal wise
s0 two diagonals are present i.e 4+4=8

other than these combo, if u take any three points in the matrix, u can create a triangle
in 4*4 matrix, in total 16c3 combo are present 16c3=560
the required combo are 560-(16+16+8)=520
i.e we can create 520 triangles with 4*4 matrix

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sudhakar verma  (10 years ago)

@vinod why not u consider the three point in the line just adjacent to the main diagonal . these two line have also 3 co-linear points ?

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