Question

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.

Just tell me how to solve it...

Answer 1

is it d? 4 C 2?

Answer 2

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

Answer 3

If the order is important, then it should be C. THis is because although some of them repeat, the order of the letters are different.

Answer 4

oh and if it said dont repeat them it would be D?

Answer 5

4P2 = \[4!\over2!\] = 12

Answer 6

\[A _{2}^{4}=6\]

Answer 7

If it said that the order the letters are used isn't important, it would be D because then there would be repeats where as although there are repeats here, the letter order is different.