A regular polygon has 23 vertices and consequently 23 sides. The number of additional lines to be drawn so that each pair of vertices will be connected, is

230

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^{23} C_{2}

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^{15} C_{2}

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^{14} C_{4}

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Solution

The correct option is A 230
Given, a regular polygon has 23 vertices and consequently 23 sides
Total number of pairs $=^{23} C_{2}$
Therefore ,
Total Number of Additional lines can be find out as

$=^{23} C_{2} - 23$
$= 23 \times 11 - 23$
$= 230$

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