License Plate Combinations: Clarifying the Math

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Homework Help Overview

The discussion revolves around calculating the number of possible license plate combinations using a mix of letters and digits. Participants are exploring the implications of different interpretations of the problem statement, particularly regarding the inclusion of specific digits and letters.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are debating the correct method for calculating combinations, with some suggesting permutations while others focus on counting methods. There are questions about the assumptions regarding which letters and digits can be used.

Discussion Status

There is an ongoing exchange of ideas, with some participants clarifying their understanding and others providing insights into potential misinterpretations. While multiple perspectives are being explored, no consensus has been reached on the correct approach.

Contextual Notes

Some participants note that certain letters may not appear on standard license plates in specific regions, which could affect the total count of valid combinations. This raises questions about the assumptions made in the problem statement regarding the character set.

  • #31
DaveC426913 said:
The set used for license plates, of course. i.e.: 26, sans I, O and Q.
That was an additional assumption/restriction on your part, not one that was given in the problem statement, and one that likely would have led to an incorrect answer.
 
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  • #32
DaveC426913 said:
While that's probably outside the scope of the question
Yes.
DaveC426913 said:
mentioning it, and providing a second solution - might net you bonus marks!
Or not...
DaveC426913 said:
But the problem does specify a context (license plates) - one in which a non-conventional letter set is specified.
No, there is no mention whatsoever in the problem statement (which I quoted several posts back) about any non-conventional letter sets or any restrictions other than three letters followed by three digits.

Since the original question has been answered to the OP's satisfaction, and further talk about reduced sets of letters is off-topic, I am closing this thread.
 
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  • #33
requied said:
Of course I can, here below;
View attachment 263365
I hope our answers are the same 😅
You are double counting some of the numerics. E.g. you are counting 112 as an example of x12 and as an example of 1x2.
 
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  • #34
haruspex said:
You are double counting some of the numerics. E.g. you are counting 112 as an example of x12 and as an example of 1x2.
So the answer became 36.504
 
  • #35
requied said:
So the answer became 36.504
Yes.
 
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  • #36
haruspex said:
Yes.
I guess there is no a similar application at letters order.
 
  • #37
requied said:
I guess there is no a similar application at letters order.
Quite so, that was easier. Had you only been told there was at least one A then, depending on your approach, there would have been a risk of double counting.
(But in that specific case the easy way is 263-253.)
 
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