Q. The sides AB,BC and CA of a triangle ABC having 3,4 and 5 interior points receptively on them. The total number of triangles that can be constructed by using these points as vertices is

Option
a. 220
b. 204
c. 205
d. 195

• 3+4+5=12
  12c3-(3c3+4c3+5c3)
  205
• 11 years agoHelpfull: Yes(61) No(7)
• (3C1*4C1*5C1)+(3C2*4C1)+(3C2*5C1)+(4C2*3C1)+(4C2*5C1)+(5C2*3C1)+(5C2*4C1)
  =60+12+15+18+30+30+40
  =205
• 11 years agoHelpfull: Yes(30) No(2)
• 12c3 - 3c3 - 4c3 - 5c3=205
• 7 years agoHelpfull: Yes(0) No(2)