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Permutations and Combinations question

2021 · 16 Mar · Shift 2 · Q28
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  5. /2021 · 16 Mar · Shift 2 · Q28

Permutations and Combinations question

2021 · 16 Mar · Shift 2 · Q28

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let α\alphaα be the number of triangles having these points from different sides as vertices and β\betaβ be the number of quadrilaterals having these points from different sides as vertices. Then (β−α\beta-\alphaβ−α) is equal to :
  1. A
    717
  2. B
    795
  3. C
    1890
  4. D
    1173
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