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Formation of Algebraic Expressions

Q. By joining...

Question

Q. By joining all the vertices of a hexagon, how many diagonals can be made?

A

15

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B

9

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C

24

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D

36

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Solution

The correct option is C $24$
$N o . o f d i a g o n a l s i n a p o l y g o n = n C 2 - 1$

$= 6 C 2 - 6 = 6 \times \frac{5}{2} - 6 = 15 - 6 = 9.$

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