**Hero Compositions**

''**TLDR: In UV1-3, there are 6 players choosing from 21 available heroes so that makes over 130k possible different heroes compositions!**''

The breakdown (//Credit to ChatGPT//):

Because no hero can be repeated, and each of the six players picks one, you are counting the number of 6-element subsets of a 21-element set.

That’s just:
[\binom{21}{6}]

Step-by-step:

	21×20×19×18×17×16=93,813,600
	6!=720

93,813,600/720=130,536

✅ There are exactly 130,536 unique hero combinations for six players.
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⚠️ Important Note — Order Doesn't Matter
This answer assumes you're counting unique sets, meaning:
	{A, B, C, D, E, F} is the same as {F, E, D, C, B, A}.
If the assignment to specific players does matter (i.e., Player 1 picking Hero A is different from Player 2 picking Hero A), then we must treat it as a permutation:
P(21,6)=21×20×19×18×17×16

which equals:
🔢 93,813,600 ordered hero assignments
So:
	Unordered team compositions → 130,536
	Ordered assignments to specific players → 93,813,600