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thanerose
01.01.2021 •
Mathematics
How many lines are determined by the points a b c d and e if 3 of them arent collinear
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Ответ:
10 possible lines
Step-by-step explanation:
Given
Required
Number of lines
From the question, the number of points (n) are:
If 3 points are not collinear (i.e. on a straight line), it means that only (5 - 3) of the points can be chosen
So, we have:
The number of lines is then calculated using combination formula.
We used combination because the analysis done above implies that 2 points are to be selected from a,b,c,d and e.
To select means combination
Having said that;
Substitute![5\ for\ n\ and\ 2\ for\ r](/tpl/images/1010/3172/ae203.png)
Hence, there are 10 possible lines
Ответ: