Q.

The number of triangles whose vertices are at vertices of an octagon but none of whose sides happen to come from the sides of the octagon is

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a

24

b

52

c

48

d

16

answer is D.

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Detailed Solution

=n(n−4)(n−5)6 =8(8−4)(8−5)6=16
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Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
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The number of triangles whose vertices are at vertices of an octagon but none of whose sides happen to come from the sides of the octagon is