1. The P.E. teacher conducted a try out for his volleyball team. There are 16 participants competing for the 12 slots to form a team. In how many ways the 12 players be chosen?

a. What is asked? The number of ways the 12 players be selected out of 16 aspirants for a volleyball team.

b. What are the given? The 12 slots to form a volleyball team and the 16 aspiring applicants

c. What is the condition? The P.E teacher will form a volleyball team composed of 12 players.

d. What is n and what is r? The n = 16 and

r=12.

2. You are planning to make a fruit salad during the Christmas party. The available fruits among the fruit stands in Paliparan are pineapple, mango, banana, apple,. grapes, banana, and pears. Due to budget constraints, you decided to consider 3
fruits. How many combinations there will be?

3. Your grandfather was always confused in picking 6 numbers for his 6 out of 58 lotto. He asked your help to calculate the number of combinations in choosing the 6 numbers for the jackpot prize.

4. Your big sister went to Alabang for the job interview. She told you that there are 12 them for the following positions: Junior Programmer, Senior Analyst, Web Designer, and Encoder. How many possible combinations there will be?

5. You and your 15 classmates will watch a movie. You will take a ride with some of your classmates in your car. The capacity of your car is 6 persons including you. How many possible combinations to choose 5 classmates out of 15 to accompany you in a car?​