The number of triangles formed by joining all the vertices in a decagon is:

100

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110

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120

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130

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Solution

The correct option is B $120$
To form a triangle, we need three points so to form a triangle in decagon, we need to chose $3$ points out of $10$ points.
$∴$ number of triangles formed are $^{10} C_{3} = 120$ .

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