SOLUTION: If the letters A, B, C, D, E, and F are used in a five-letter code, how many different codes are possible if repetitions are not permitted? a) 625 b) 720 c) 7776 d) 1296

Algebra ->  Probability-and-statistics -> SOLUTION: If the letters A, B, C, D, E, and F are used in a five-letter code, how many different codes are possible if repetitions are not permitted? a) 625 b) 720 c) 7776 d) 1296       Log On


   

Question 169011: If the letters A, B, C, D, E, and F are used in a five-letter code, how many different codes are possible if repetitions are not permitted?
a) 625
b) 720
c) 7776
d) 1296

I am completely confused.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the letters A, B, C, D, E, and F are used in a five-letter code, how many different codes are possible if repetitions are not permitted?
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For the 1st letter, you can choose one of 6. For the 2nd, one of the remaining 5, then 4, 3, 2. So the possibilities are 6*5*4*3*2*1, or 6! (6 factorial).
That's 720.