Math, asked by nkarthick616, 11 months ago

How many quadrilaterals can be formed joining the vertices of a polygon of 12 sides?

Answers

Answered by sudipta25
3
Almost uncountable ......

sudipta25: hopes it is helpful to you
sudipta25: please choose my answer as brainlest answer and give a thank you
rk5948411: no. of quadrilateral in 12 sided polygon. (1) exactly 1 sides common with the polygon. (2) exactly 2 sides common with the polygon
sudipta25: no there will be uncountable no. of quadrilatral because quadrilateral means any shape closed by three or more sides
sudipta25: then my answer is not wrong
sudipta25: if tou have not understood the question then don't ask the question
sudipta25: ya you may be right if you join all the vertic3s
sudipta25: i may be right if i join some vertices again and again leaving any verices
Answered by Anonymous
2

Answer:

495.

Step-by-step explanation:

Now, in simple terms,

we require a total of 4 points to draw a quadrilateral.

Now, when joining the vertices of a polygon, 12 sides means total 12 points among which any 4 will produce a possible quadrilateral.

So, the answer is the possible ways we can choose any 4 points from the 12 points of the polygon we've got.

So, it can be expressed as,

C(12,4) = 12! / [4! X (12-4)!]

or, C(12,4) = (12 X 11 X 10 X 9) / (4 X 3 X 2 X 1)

or, C(12,4) = 495.

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