A triangle PQR is such that 3 points lie on the side PQ,4 points on QR and 5 points on RP respectively. Triangles are constructed using these points as vertices. What is the number of triangles so formed?

Question

YESPYQ · Accepted Answer

Correct answer: a) 205. Total points are 12 on the three sides of triangle of which 3 points are collinear on side PQ, 4 points are collinear on side QR, 5 points are collinear on side PR, Hence total number of triangles formed $={}^{12}C_{3}-{}^{3}C_{3}-{}^{4}C_{3}-{}^{5}C_{3}\ =220-1-4-10\ =205$

A triangle PQR is such that 3 points lie on the side PQ,4 points on QR and 5 points on RP respectively. Triangles are co…

Practice more Board Maths PYQs