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Consider a polygon of sides 'n' which sa...

Consider a polygon of sides 'n' which satisfies the equation `3*^(n)P_(4)=^(n-1)P_(5)`.
Q. Number of quadrilaterals thatn can be formed using the vertices of a polygon of sides 'n' if exactly 1 side of the quadrilateral in common with side of the n-gon, is

A

96

B

100

C

150

D

156

Text Solution

Verified by Experts

The correct Answer is:
C
Number of quadrilaterals of which exactly one side is the side of the n-gon
`=nxx.^(n-4)C_(2)=10xx.^(6)C_(2)=150" "[becausen=10]`
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