Wording in a Permutation/Combination Problem

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SUMMARY

The discussion revolves around a permutation problem involving the selection of 4 distinct digits from the set of numbers 0-9 to form a 4-digit code. Participants agree that the phrase "if number cannot be the same" indicates that digits must be unique, ruling out repeated digits in the code. Therefore, the correct interpretation is that each digit in the code must differ from the others, confirming that permutations are the appropriate method for calculating the total number of valid codes.

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mwang
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Hello all,

I came across a question regarding permutations that I found a bit confusing. Please tell me what you think it means

"Choose 4 numbers from 0-9 to comprise a 4-digit code.

1) If number cannot be the same, how many codes can we have"

The way I see it, it means that the digits in the codes cannot be repeated. So basically, the possible codes cannot be 2223; all the digits must be different. Is this what you think too?

Thanks
 
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I can't imagine what "if number cannot be the same" means, but I think permutation is a reasonable guess. If this is for a class, you can always just explain to the teacher that you didn't understand the question. :smile:
 
honestrosewater said:
I can't imagine what "if number cannot be the same" means
It means, "if no two numbers can be the same."
 

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