Taking any three of the line segments out of segments of length 2 cm, 3 cm, 5 cm and 6 cm, the number of triangles that can be formed is :

We have to select three values out of the four length values given so that sum of any two values in the chosen set is larger than the third value.

=> Three out of four combination problem and we can choose in $$C_3^4$$ = 4 ways.

But because of the triangle formation constraint, sides 2cm, 3cm can't be taken together in any choice.

This reduces number of combinations by 2, [2, 3, 5] and [2, 3, 6]

=> The only two possibilities, [2, 5, 6] and [3, 5, 6].

Ans - (B)