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. ⚠️ 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