If-7-points-out-of-12-are-in-the-same-straight-line-then-the-number-of-triangles-formed-is-

Question Number 42094 by amansingh@123 last updated on 17/Aug/18

If 7 points out of 12 are in the same

straight line, then the number of

triangles formed is

Answered by $@ty@m last updated on 17/Aug/18

^{7} C_{2} \times 5 +^{5} C_{2} \times 7 +^{5} C_{3}

= 21 \times 5 + 10 \times 7 + 10

= 105 + 70 + 10

= 185

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