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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. 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.



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