SOLUTION: A student is choosing a five-digit password. Only the digits 1 through 7 are allowed. How many passwords are possible if digits may not be repeated?

Question 185458This question is from textbook saxon algebra 2
: A student is choosing a five-digit password. Only the digits 1 through 7 are allowed. How many passwords are possible if digits may not be repeated? This question is from textbook saxon algebra 2

Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since "Only the digits 1 through 7 are allowed", this means that there are 7 digits available.

So you have 7 choices for the first slot. Afterwards, you have 6 choices for the second slot (since you cannot repeat digits). Then you have 5 choices for the 3rd, etc...

So we have the following:

7*6*5*4*3=7*6*5*4*3=2,520

So there are 2,520 different possible passwords

As an alternative, you can use a permutation to calculate the answer.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
7*6*5*4*3=2,520 possible combinations are available.
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