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

• total num of unfavourable cases are 44 out of 560
  so prob is = 560-44/560 = 516/560
• 10 years agoHelpfull: Yes(5) No(0)
• 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
  
• 11 years agoHelpfull: Yes(3) No(2)
• @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 ?
  
• 11 years agoHelpfull: Yes(0) No(0)