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# Trifecta Calculator

Our trifecta calculator calculates the bet cost of any trifecta.

Bet amount:
Bet options:
Flexi:
No. of runners:
1st place:
2nd place:
3rd place:
COST
Combinations
% OF UNIT

## Calculating the cost of a trifecta

A trifecta is a bet where you must select the first three horses in correct finishing order. The cost of a trifecta bet is determined by multiplying the number of possible winning combinations from the selections by the bet amount. A trifecta is a permutation without repetition, so the number of choices reduces as each place is filled. For example, a box trifecta with 5 selections has 60 (5 x 4 x 3) combinations. For a full \$1 unit, this bet will cost \$60.

There are different types of trifectas, they include: normal trifecta, box trifecta, standout trifecta and roving banker trifecta. Calculating the cost of trifectas where different selections are made for each place is more difficult which is why it is best to use our calculator. The formula for calculating any trifecta bet is:

Trifecta combinations = (A x B x C) – (AB x C) – (AC x B) – (BC x A) + (2 x ABC)

Where:

• A = Number of selections for 1st place
• B = Number of selections for 2nd place
• C = Number of selections for 3rd place
• AB = Number of selections for 1st and 2nd place
• AC = Number of selections for 1st and 3rd place
• BC = Number of selections for 2nd and 3rd place
• ABC = Number of selections to fill all three places

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