Let n = {s, p, o, m}. list all of the ways that you can select two different members of n with repetition allowed. the order in which you select the members is important.

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

b
ss, sp, so, sm, pp, po, pm, oo, om, mm

c
sp, so, sm, ps, po, pm, os, op, om, ms, mp, mo

d
sp, so, sm, po, pm, om

 The answer is (C).  SP, SO, SM, PS, PO, PM, OS, OP, OM, MS, MP, MO.

Step-by-step explanation:  The given set is N = {S, P, O, M}.

We are to list the ways in which we can select two different members of N with repetition allowed and the order in which we select the members is important.

Since we are to select different members, so the cases SS, PP, OO and MM will not be considered.

The required ways will be

SP, SO, SM, PS, PO, PM, OS, OP, OM, MS, MP, MO.

Thus, the correct option is (C).