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There are 12 points in a plane of which ...

There are 12 points in a plane of which 5 points are collinear, then the number of lines obtained by joining these points in pairs is `""^(12)C_(2) - ""^(5)C_(2)`.

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Required number of lines `= ""^(12)C_(2) - ""^(5)C_(2) + 1`
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Knowledge Check

  • STATEMENT -1 : There are 12 points in a plane of which only 5 are collinear , then the number of straight lines obained by joining these points in pairs is ""^(12)C_(2) - ""^(5)C_(2) . STATEMENT-2: ""^(n +1)C_(r) - ""^(n-1)C_(r - 1) = ""^(n)C_(r) + ""^(n)C_(r - 2) STATEMENT -3 :2n persons may be seated at two round tables , n person seated at each , in ((2n)!)/(n^(2)) in differnet ways.

    A
    F T F
    B
    T T F
    C
    F F T
    D
    F T T

  • There are 10 points in a plane, out of which 5 are collinear. Find the number of straight lines formed by joining them.

    A
    36
    B
    45
    C
    30
    D
    35

  • There are 10 points in a plane, out of which 6 are collinear. If N is the number of triangles formed by joining these points, then :

    A
    `N le 100`
    B
    `100 lt N lt 140`
    C
    `140 lt N le 190`
    D
    `N gt 190`

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