In a class, they draw lots for who should be student council representatives. Must select one representative and one alternate. They are 8 students in the class. A student can only be either representative or supleant (not both!). How many different options for the outcome of the draw?
+130536 We can imagine this as the number of ordered sets represented as either (representative, alternate) or (alternate, representative).....so if we have students A and B, (A, B) and (B, A) are different sets.
So the total possibilites are given by the permutation P(8,2) = 56....
for every one student there are 7 posibillities and there are 8 students
7*8=56
56 different outcome
+130536 We can imagine this as the number of ordered sets represented as either (representative, alternate) or (alternate, representative).....so if we have students A and B, (A, B) and (B, A) are different sets.
So the total possibilites are given by the permutation P(8,2) = 56....
