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Q.

The number of straight lines can be formed out of 10 points of which 7 are collinear 

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a

25

b

26

c

none of these

d

21

answer is C.

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Detailed Solution

If there were no three points collinear, we should have 10C2 lines; but since 7 points are collinear we must subtract 7C2 lines and add the one corresponding to the line of collinearity of the seven points. Thus, the required number of straight lines 

=10C2−7C2+1=25

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