Question

1. How many chords can be drawn through 15 points on a circle? 

2. A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected? 

Answer 1

1. Number of chords = ¹⁵C₂ = \(\frac{15 \times 14}{1 \times 2}\) = 105

2. Selection of 2 black and 3 red balls = ⁵C₂ × ⁶C₃ = 10 × 20 = 200.