Final answer:
False: The question about team composition involves calculating a probability, which is false based on the given number of available girls (12) not matching the stated maximum (32).
Step-by-step explanation:
The question concerns the calculation of probability in a context where a team is to be chosen randomly, which is a fundamental concept in statistics, a branch of mathematics. When building a team of 10 from a group of 15 boys and 12 girls, and we want to know the likelihood that exactly 8 players will be boys, we are dealing with a hypergeometric probability distribution since draws are without replacement.
The 'group of interest' here would be the boys, and the 'sample' refers to the team of 10 players. For clarification, a simple calculation of this probability involves choosing 8 boys from the 15 available and 2 girls from the 12 available, and then dividing that by the total ways to choose any 10 players from the 27 students.
To answer the question regarding the 'greatest number of girls in each team', based on the statement 'the greatest number of girls in each team is 32', it is false since there are only 12 girls available.