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ACTIVITY 1: LET'S PRACTICE! Directions: Determine the value of n and r in the following problems involving combination. contest. 1. There are 25 students qualified to join the dance contest. In how many ways can 15 students be selected to join the 2. In a certain barangay, the Barangay Captain would like to conduct a seminar on drug addiction. He plans to create a committee for registration. In how many ways can a committee of 5 be formed from his 14 constituents? 3. From a class with 45 students, 9 students will be chosen to join the Math Fair. In how many ways can the students be chosen? 4. How many triangles can be formed from 11 distinct points on the plane, no three points of which are collinear? 5. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are 30 guests, how many handshakes will be done?
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