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jee king king Grade: 12
        

There are 'm' points on a straight line AB and 'n' points on the line AC none of them being the point A. Triangles are formed with these points as vertices, when


 (i)A is excluded (ii) A is included. The ratio of no of triangles in the 2 cases is ? 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear jee king


case 1   A is excluded


total ways =m+nC3


but triangle can't be formebd joining the 3 points which are in straight line so


total number of possible triangle=m+nC3  -mC3  -nC3


 


Case 2 A is included


otal ways =m+n+1C3


but triangle can't be formebd joining the 3 points which are in straight line so


total number of possible triangle=m+n+1C3  -m+1C3  -n+1C3





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Badiuddin

7 years ago
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