Permutations are more than just a counting exercise.
Permutations are symmetries. In fact, these "symmetric groups" contain all finite symmetries!
👉For more visual symmetry groups check out this video: • How can we do algebra with the symmetries ...
0:00 Intro
1:00 permutations are actions!
2:06 to multiply, follow the arrows
3:19 looks like bijective functions are involved
4:30 The Symmetric Group
5:54 why study these?
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