Permutations Practice Test 1

Question : 18 of 40

Marks: +1, -0

The number of triangles that are formed by choosing the vertices from a set of 12 points, seven ofwhich lie on the same straight line, are:

Solution:

Total no. of Δ’s

= ^12C_3 - ^7C_3 = 185

(Since when all 3 points on a line are joined, then no Δ is formed.)

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