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  4. The number of pairs of diagonals of a regular polygon of 10 sides that are parallel, are

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Q. The number of pairs of diagonals of a regular polygon of $10$ sides that are parallel, are

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$\underset{\text{No. of ways to select a verex}}{{}^{5}C_{1}} \times \underset{\text{No. of ways to select a pair }}{{}^{4}C_{2}} = 30$
Solution
$=3C_{2}\times 5=15$
$\therefore $ Ans. $=45$