First slide

Combinations

Question

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

Moderate

A

$N \leq 100$
B

$100 < N \leq 140$
C

$140 < N \leq 190$
D

$N > 190$

Solution

Solution: Number of triangles
$=^{10} C_{3} -^{6} C_{3} = 120 - 20 = 100$

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