A history pop quiz has one question in which students are asked to arrange the following presidents in chronological order: Hayes, Taft, Polk, Taylor, Grant, and Pierce.

After carefully reading the scenario, determine the number of possible different arrangements of the presidents. Which will work better to determine this answer, permutation or combination? Make an argument as to why your way works.

Besides your method, is there another method to determine the number of outcomes? Explain.

Calculate the probability that an unprepared student will guess the correct order. Explain.