SOLUTION: if the letters A,B,C,D,E and F are to be used in a five letter code, how many different codes are possible if repetitions ARE PERMITTED. A- 625 B- 720 C- 7776 D- 1296 ANSW

Algebra ->  Probability-and-statistics -> SOLUTION: if the letters A,B,C,D,E and F are to be used in a five letter code, how many different codes are possible if repetitions ARE PERMITTED. A- 625 B- 720 C- 7776 D- 1296 ANSW      Log On


   

Question 327122: if the letters A,B,C,D,E and F are to be used in a five letter code, how many
different codes are possible if repetitions ARE PERMITTED.
A- 625
B- 720
C- 7776
D- 1296
ANSWER C IS POSSIBLE IF REPETITIONS ARE NOT PERMITTED. BUT WHAT IF THEY ARE?
PLEASE HELP ME
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
If repetition is allowed, then there are 6 choices for the first, 6 for the second, and so on.
Thus, there are 6^5=7776 possible codes when repetition IS allowed.
If not allowed, then there are 6 for the first, 5 for the second, and so on.
Thus, there are 6!=720 different codes when repetition IS NOT allowed.