QUESTION: Joe (J), Kiernan (K), and Lola (L) are the only three competitors in a race. Starting with 1st place on the left, list all possible outcomes for the race (e.g. if Joe came 1st, Kiernan 2nd, and Lola 3rd, that would be ‘JKL’).
ANSWER: Let’s consider the outcomes in which Joe comes first. We have:
JKL and JLK
Then, if Kiernan comes first, we have
KJL and KLJ
Next, if Lola comes first, we have
LJK and LKJ
Therefore, the total list of outcomes is
JKL, JLK, KJL, KLJ, LJK, and LKJ.