Question:

The number of diagonals in a hexagon is

Updated On: Jun 7, 2024
  • 8
  • 9
  • 10
  • 11
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The Correct Option is B

Solution and Explanation

The number of diagonals in a $n$ -side polygon
$=\frac{n(n-3)}{2}$
$\therefore$ Number of diagonals in a hexagon
$=\frac{6(6-3)}{2} $
$=9$
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Concepts Used:

Combinations

The method of forming subsets by selecting data from a larger set in a way that the selection order does not matter is called the combination.

  • It means the combination of about ‘n’ things taken ‘k’ at a time without any repetition.
  • The combination is used for a group of data where the order of data does not matter.
  • For example, Imagine you go to a restaurant and order some soup.
  • Five toppings can complement the soup, namely:
    • croutons,
    • orange zest,
    • grated cheese,
    • chopped herbs,
    • fried noodles.

But you are only allowed to pick three.

  • There can be several ways in which you can enhance your soup with savory.
  • The selection of three toppings (subset) from the five toppings (larger set) is called a combination.

Use of Combinations:

It is used for a group of data (where the order of data doesn’t matter).