Question

Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)

Answer 1

Answer:

RGB. RBG, BRG, BGR, GBR, GRB

Step-by-step explanation:

Given

R, G and B

Required

List all possible arrangement

First, we need to calculate the number of arrangement

There are 3 letters and they are to be arranged in order of 3.

So, we have:

$n = 3$ and $r =3$

Number of arrangement is:

$^nP_r = \frac{n!}{(n - r)!}$

$^3P_3 = \frac{3!}{(3 - 3)!}$

$^3P_3 = \frac{3!}{0!}$

$^3P_3 = \frac{3*2*1}{1}$

$^3P_3 = \frac{6}{1}$

$^3P_3 = 6$

Hence, number of arrangements is 6 and the arrangements are:

RGB. RBG, BRG, BGR, GBR, GRB