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Can anyone explain how to compute the product of cycles? For example: (123)(14) It's supposed to be equal to (1423) but I don't understand why.

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I'm not sure, @hba , @hartnn , or @AccessDenied might know.
I found this:
  • hba
Is This Permutation LoL ? @Compassionate

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Other answers:

Ha ha, yes XD
  • hba
Haha LoL
Do you read the product from left-to-right or right-to-left? I recall doing the latter in previous problems, but that doesn't work for me here.
I would use a diagram here, just because it's easier to see visually: |dw:1350220889162:dw| It appears here that 1 --> 4, 4 --> 2, 2 --> 3, and 3 --> 1. That would be the same as (1 4 2 3).
Why 4 --> 2?
Just comparing the original to the end result. 4 was originally in the bottom left-hand corner, and ended up where 2 originally was. |dw:1350221368738:dw|

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