Question

The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the next set of three cards, how many different permutations will you have?
List all the different permutations in the space provided.

Answer 1

Answer:

24

Step-by-step explanation:

There are 4 possibilities for the first card.

After that, there are 3 possibilities for the second card.

Finally, there are 2 possibilities for the third card.

The total number of permutations is 4×3×2 = 24.

Here's the list (in alphabetical order):

ARS

ART

ASR

AST

ATR

ATS

RAS

RAT

RSA

RST

RTA

RTS

SAR

SAT

SRA

SRT

STA

STR

TAR

TAS

TRA

TRS

TSA

TSR