Question

Let N = {S, P, O, M}. List all of the ways that you can select two members of N with repetition allowed. The order in which you select the members is important.

Answer 1

It would be 6 correct?

Answer 2

2^k
K=number of things :
2^4=16

Answer 3

For the first choice, you have 4 to choose from (s,p,o or m), for the second choice you have 4 choices (s,p,o or m), since repetition is allowed. Also, order is important, so you can have:

ss
pp
oo
mm
sp,ps
so,os
sm,ms
po,op
pm,mp
om,mo

Final number is \(4\times4=16\).

Answer 4

@kam14