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There are 12 points in a plane of which ...

There are 12 points in a plane of which 5 are collinear. Except these five points no three are collinear, then

A

The number of quadrilaterals one can form using these points is 420

B

the number of Deltas one can form using these points is 210

C

the number of lines one can form using these points is 57

D

the number of lines one can form using these points is 56

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

(A) .^(12)C_(4)-(` .^(5)C_(4)+^(5)C_(3).^(7)C_(1))=495-(5+70)=420`
(B). .^(12)C_(3)-(` .^(5)C_(3))=220-10=210`
(C). .^(12)C_(2)-(` .^(5)C_(2))+1=66-10+1=57`
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