MathematicsThe number of triangles formed in a decagon are ____.

The number of triangles formed in a decagon are ____.


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    Solution:

    In the decagon there are 10 vertices.
    Also, for a triangle it requires three vertices at a time.
    Therefore, from 10 given points we have to choose 3 out of them.
    Number of triangle = C310=10!3! 7!=120
     
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