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The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regula

+1 vote

asked Apr 6, 2019 in JEE by kratos

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular polygon is-

(A) 66

(B) 30

(C) 24

(D) 15

class-11
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permutations and combinations
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class-12

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1 Answer

+6 votes

answered Aug 27, 2020 by kratos

Best answer

Correct Option :-(D) 15

Explanation :-

Number of diagonals passing through centre = 6

number of rectangles = 6C2 = 15

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