Question

suppose you are to form different triangle using 4noncollinen points A,B,C,D how many triangles can be form

Answer 1

Using four noncollinear points, we can form 4 different triangles by calculating the combinations of 4 points taken 3 at a time (C(4, 3)).

Step-by-step explanation:

To determine the number of different triangles that can be formed using four noncollinear points A, B, C, D, we can use the combinations formula which is C(n, k) = n! / (k!(n-k)!), where n is the total number of items, k is the number of items to choose, and ! denotes factorial. For the four points, we are choosing sets of three points at a time to form a triangle. Therefore, we calculate the combinations of 4 items taken 3 at a time.

The number of combinations is C(4, 3) = 4! / (3!(4-3)!) = (4 x 3 x 2 x 1) / (3 x 2 x 1 x 1) = 4. Thus, using four noncollinear points, we can form 4 different triangles.