Editorial team: How many bets are in a five-selection round robin?

Viewed 3

Clarifies how many parlay combinations exist from five selections when choosing by 2s, 3s, 4s, 5s, or all sizes from 2 to 5.

1 Answers

A five-selection round robin does not have one fixed bet count unless you specify the parlay size. The count is the number of combinations of 5 selections taken k at a time:

C(5,k)

Round robin size Number of bets
By 2s 10
By 3s 10
By 4s 5
By 5s 1
All sizes 2 through 5 26

So if someone says “a 5-selection round robin by 2s,” that is 10 individual bets. If they mean every parlay size from doubles through the fivefold, that is 26 individual bets.

Operator help material describes a round robin as a set of parlay combinations and notes that the stake is applied to each individual combination, not just once to the whole group: https://support.draftkings.com/dk/en-us/what-is-a-round-robin-rr-bet?id=kb_article_view&sysparm_article=KB0010785

Cost example

If the stake is $2 per combination:

Setup Bets Total stake
5 selections by 2s 10 $20
5 selections by 3s 10 $20
All sizes 2–5 26 $52

Method: use the combinations formula, not permutations, because the same selections in a different order do not create a different parlay.

For a stake-by-stake check, use the ToolsGambling round robin calculator: https://toolsgambling.com/betting/round-robin-calculator

Limitations: actual bet slips can exclude related selections, same-game combinations or voided legs. The receipt controls what was actually accepted and settled.