Horse Racing Calculator
Calculate your trifecta box ticket cost by entering a base bet and the number of horses in the box. A trifecta box covers every three-horse finishing order among your selected runners. Combinations are counted with n × (n − 1) × (n − 2), so cost rises quickly with each added horse.
Enter your base bet per combination and the number of horses in the box. The calculator applies n × (n − 1) × (n − 2) to find total combinations, then multiplies by your base bet.
Enter a base bet and horse count, then press Calculate to see ticket combinations and estimated cost.
Formula: combinations = n × (n − 1) × (n − 2). All values below are pre-verified against the permutation formula.
| Horses in box | Combinations | $0.50 base | $1 base | $2 base |
|---|---|---|---|---|
| 3 | 6 | $3.00 | $6.00 | $12.00 |
| 4 | 24 | $12.00 | $24.00 | $48.00 |
| 5 | 60 | $30.00 | $60.00 | $120.00 |
| 6 | 120 | $60.00 | $120.00 | $240.00 |
| 7 | 210 | $105.00 | $210.00 | $420.00 |
A 4-horse trifecta box costs $24 at $1 base. A 5-horse box costs $60. A 6-horse box costs $120. Each additional horse adds a new multiplier term to the formula.
Higher-paying trifectas often involve longer-shot horses. Adding horses to capture more outcomes increases cost but does not improve your opinion on the race or reduce pool takeout.
The minimum trifecta box uses 3 horses, creating 6 combinations (3 × 2 × 1 = 6). At a $1 base, the ticket costs $6.
A straight trifecta requires one exact finishing order. A trifecta box covers every three-horse finishing order among your selected horses, which costs more but wins regardless of which specific order your horses finish in, as long as they fill the top three spots.
Each added horse multiplies the combination count through all three position terms. Going from 4 to 5 horses raises combinations from 24 to 60. Going from 5 to 6 raises them to 120. This exponential growth is why trifecta boxes become expensive quickly with each added horse.
A $1 trifecta box with 4 horses costs $24. There are 24 combinations (4 × 3 × 2 = 24), each costing $1.
No. A trifecta box increases coverage but does not guarantee a positive return. The payout depends on the pari-mutuel pool, the track takeout rate, and how many other winning tickets share the pool. More coverage raises cost without changing those underlying factors.
Run the cost, compare it against your bankroll, and remember: more combinations increase cost, not edge.