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Problem Solving (PS) | Re: A certain identification code consists of 6 digits, each of which is

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unicornilove wrote:

Hello, I got the 36 options but actually did it as 2*36*2*36. The reason for the *2 is because positions 1,3 and 2,4 can be switched. Could anyone explain the flaw in my logic please? Thank you

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36 combinations include both (1, 2) and (2, 1) pairs.

If the 1st digit is 1, the 3rd digit could be anything from 1 to 8, giving pairs such as (1, 1), (1, 2), (1, 3), ..., (1, 8)
If the 1st digit is 2, the 3rd digit could be anything from 1 to 7, giving pairs such as (2, 1), (2, 2), (2, 3), ..., (2, 7)
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If the 1st digit is 8, the 3rd digit could only be 1, giving (8, 1) pair.­

Statistics : Posted by Bunuel • on 08 Aug 2023, 08:00 • Replies 9 • Views 10299



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