The number of triangles formed by 4 points, when no three points are collinear is:
Question
The number of triangles formed by 4 points, when no three points are collinear is:
Solution
To find the number of triangles formed by 4 points, when no three points are collinear, we can use the formula for combinations.
Step 1: Determine the number of ways to choose 3 points from the given 4 points. This can be calculated using the combination formula, which is nCr = n! / (r!(n-r)!), where n is the total number of points and r is the number of points to be chosen. In this case, n = 4 and r = 3.
Step 2: Calculate the combination using the formula: 4C3 = 4! / (3!(4-3)!) = 4! / (3!1!) = 4.
Therefore, the number of triangles formed by 4 points, when no three points are collinear, is 4.
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