How many Trifecta combinations with 20 horses?

In a 20-horse field there are 116,280 possible winning combinations in the superfecta. For the trifecta it is 6,840 and the exacta has 380. If you are going to successfully hit a bet like the superfecta you need to take a stand to help offset the odds of hitting the wager.

horseracingnation.com - How to Hit the Kentucky Derby Trifecta - Horse Racing Nation

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Is it possible to hit the trifecta or superfecta in the Kentucky Derby? How many combinations are there in a 20-horse field and what are the average payoffs? What is the right way to approach the exotics in such a large field?

Combinations

Superfecta

20 horses: 116,280 combinations

19 horses: 93,024

Trifecta

20: 6840

19: 5814

Exacta

20: 380

19: 342

Payoffs

The risk is worth the reward in a race like the Derby because the average winning payoffs are huge, especially in the superfecta. The $2 superfecta payout in the last six years has ranged from $29,000 to more than $800,000.

Strategies

Trying to pick the Kentucky Derby winner in 2011 is especially difficult because the field is so evenly matched. Another way to approach the exotics is to key a horse underneath. An article posted earlier this week on Horse Racing Nation suggested longshots to consider in the Derby. The writer mentioned Pants On Fire, Santiva, Shackleford, and a couple of others as live wires on the first Saturday in May. If you like one of those horses to hit the board you could key them in the following manner... Let's use #12 Santiva as an example. Make a small win wager on him and key him in the 2nd and/or 3rd slots under all of your win contenders (ex.- #1,7,8,13,18) in the trifecta. You could use the same approach in the superfecta.

Trifecta 1-7-8-13-18/ALL/12

The $1 trifecta in the above example would cost $90. So, you could invest a total of $200 in the race keying Santiva in the 2-3 slots and making a $20 win saver. Making smarter decisions and knowing how to approach the exotics will lead to a steadily growing bankroll and that is something everyone can agree with. Good luck in the Derby!

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What is a 3 bet Round Robin?

A round-robin bet is a parlay or teaser with three or more games, or "legs," where you are actually betting multiple smaller combinations involving your selections instead of lumping them into one must-win-all wager.

wynnbet.com - What is a Round Robin? | WynnBET Sportsbook

How does a Round Robin Work?

Example:

You choose teams A, B and C to win their games against teams D, E and F, respectively. In a three-team standard parlay, teams A, B and C must win for you to collect. However, in a round-robin wager, you are actually betting three two-team parlays involving your three selections: A two-team parlay where teams A and B must win, a two-team parlay where teams B and C must win and a two-team parlay where teams A and C must win. If any two of your three teams win against the spread, you will win at least one of these bets. If all three win, you win each of the three two-team payouts. With a four-team round-robin, you can choose whether to bet the six different two-team parlay combinations, the four different three-team combinations, or both. Looking to place a round robin bet? For more details on online promotions, choose your state here: AZ, CO, IN, LA, MI, NJ, NY, TN, & VA. Promotions can vary by state.

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