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Maths-

General

Easy

Question

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

$^{17} C_{4} -^{15} C_{2}$
$\frac{^{15} C_{3} \cdot 20}{4}$
2275
2125

The correct answer is: 2125

Total quadrilateral (quadrilateral are side in common two side common three side common)
$equals 20 c subscript 4 end subscript minus open parentheses 20 plus 20 cross times 15 plus 15 c subscript 2 end subscript cross times 20 close parentheses$ = 2125

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