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If n lines are drawn in a plane such tha...

If n lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent, such that these lines divide the plane in 67 parts, then ffind number of different points at which these lines will cut.

A

`underset(k=1)overset(n-1)(sum)k`

B

`n(n-1)`

C

`n^(2)`

D

None of these

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ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Exercise For Session 6
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  7. Find the total number of positive integral solutions for (x ,y ,z) suc...

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  8. There are 12 points in a plane in which 6 are collinear. Number of dif...

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  9. 4 points out of 11 points in a plane are collinear. Number of differen...

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  10. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked...

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  11. There are 10 points in a plane of which no three points are colline...

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  13. There are 2n points in a plane in which m are collinear. Number of qua...

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  14. In a polygon the number of diagonals is 54. The number of sides of the...

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  15. In a polygon, no three diagonals are concurrent. If the total numbe...

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  18. The parallelogram is cut by two sets of m lines parallel to its sides....

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