SOLUTION: If you are allowed to use numbers 1 – 20 and need to choose the passcode of an exact 4 digit code, how many possibilities are there?

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Question 1118401: If you are allowed to use numbers 1 – 20 and need to choose the passcode of an exact 4 digit code, how many possibilities are there?
Found 4 solutions by Edwin McCravy, ikleyn, Alan3354, greenestamps:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

20 numbers Position 4 = 20P4 = 20∙19∙18∙17 = 116280

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

1.   I do not think that the solution by Edwin is adequate to the condition.


2.   Since the condition does not formulate if the digit repetition is allowed or not,  this formulation is not precisely correct.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
20%5E4+=+160000
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But, you say 4 digits. Is 20 a digit?
--> a problem that should be ignored.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


You have three responses already to your question.

The first one assumes the "digits" can't be repeated.

The second one suggests that answer might not be right because your statement of the problem did not specify whether or not repetition is allowed.

The third gives a possible answer based on the guess that repetition is allowed, which, without any direction one way or another, would be my interpretation.

The third tutor also pointed out a bigger problem with your statement of the problem, which says you have 20 choices for each "digit" -- a problem which the other two tutors appear to have overlooked. In base 10 (which I assume you are using, since no other base was specified), there are only 10 digits to choose from.

The bottom line is that you wasted your time and the time of several tutors here by not formulating your problem clearly.

When you are requesting help with a problem, it would be polite to take the time to make sure you have stated the problem correctly and clearly.