2025 CJC P2 Q5

The basketball club in a college has \(5\) centers, \(8\) forwards and \(7\) guards. With the National School Games approaching, the coach wishes to find out the opinions of members of the club about the training programme. He gives a questionnaire to all the members of the club and receives replies from everyone.

1. Explain whether the \(20\) members form a sample or a population.[1]

The coach then decides to select teams to play in the matches for National School Games. A basketball team to play in a match consists of \(1\) center, \(2\) forwards and \(2\) guards.

2. Explain an advantage for choosing a random sample in each category of members for the match.[1]
3. How many different teams can be formed?[1]

In the club, one particular forward is the classmate of one particular guard. Both classmates are injured and cannot participate in a particular match. The coach decides that one of the remaining guards can play either as a guard or as a forward.

4. How many different teams can now be formed?[3]