What is the number of triangles that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which lie on the same straight line?

A survey of 850 students in a University yields that 680 students like music and…

Let [x] denote the greatest integer function. What is the number of solutions of the…

What is C(n, r) + 2C(n, r – 1) + C(n, r – 2) equal…

Consider the following statements: 1. cosθ + secθ can never be equal to 1.5. 2.…

If cosec θ = 29/21 where 0 < θ < 90°, then what is the…