The number of distinct straight-lines formed from $5$ non-collinear points is

24

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5

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10

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16

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Solution

The correct option is C $10$
The number of distinct straight-lines formed from $n$ non-collinear points is $^{n} C_{2}$
Here, $n = 5$ .
So number of distinct straight lines $=^{5} C_{2} = \frac{5!}{2! (5 - 2)!} = 10$

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^{n} C_{n - 2}

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