Answer:
C. Determining the top three winners in a your party Science Quiz Bee.
Step-by-step explanation:
Permutations and combinations:
In permutation, the order in which the elements are chosen matters, for example AB is a different outcome than BA, while for combinations it does not matter, that is, AB and BA is the same outcome.
A. Choosing three of your classmates to attend
Order in which they are chosen is not important, so its combinations.
B. Picking six balls from a basket of 12 balls
Order in which they are chosen is not important, so its combinations.
C. Determining the top three winners in a your party Science Quiz Bee
Top is the key-word, as it implies that the participants are ranked, so the order is important, that is John, Laura, Chanel means that John finished first, Laura second and Chanel third, while Laura, John Chanel means that Laura finished first, and thus the correct answer is given by option C.
D. Drawing a set of six numbers in a lottery
Order in which they are chosen is not important, so its combinations.