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Find the number of triangles formed by joining 12 points if no three points are collinear - Mathematics and Statistics

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प्रश्न

Find the number of triangles formed by joining 12 points if no three points are collinear

बेरीज
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उत्तर

A triangle can be formed by selecting 3 non-collinear points.

We can choose 3 points from 12 points in

12C3 = `(12!)/(3!9!)`

= `(12 xx 11 xx 10 xx 9!)/(3 xx 2 xx 1 xx 9!)`

= 220 ways

∴ number of triangles = 220.

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पाठ 3: Permutations and Combination - Exercise 3.6 [पृष्ठ ६५]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.6 | Q 14. (a) | पृष्ठ ६५
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