Ahistory 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.

See explanation

Step-by-step explanation:

You are given the list of 6 presidents. You can arrange them in

different arrangements.

Here we used permuatations (not combinations). The difference between combinations and permutations is ordering. With permutations we care about the order of the elements, whereas with combinations we don’t.

Another way to count the number of arrangements is next:

The first president in the list can be chosen in 6 different ways, the second - in 5 ways (5 presidents left), the third - in 4 ways (4 presidents left), the 4th - in 3 ways (3 presidents left), the 5th - in 2 ways (2 presidents left) and the 6th - in 1 way (only 1 president left). In total,

different arrangements.

Only one of these arrangements is correct, so the probability that an unprepared student will guess the correct order is

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.