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There are 10 points in a plane , out of ...

There are 10 points in a plane , out of these 6 are collinear. If N is the number of triangles formed by joining these points , then :

A

`N gt 190`

B

`N le 100`

C

`100 lt N le 140`

D

`140 lt N le 190`

Text Solution

Verified by Experts

The correct Answer is:
B
Number of triangles`=.^(10)C_(3)-.^(6)C_(3)`
`impliesN=(10*9*8)/(1*2*3)-(6*5*4)/(1*2*3)impliesN=120-20impliesN=100`
`thereforeN le 100`
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