Combination Play Mathematics: How Retail Terminals Calculate and Compound Lines
Understand how combination play wagers all mathematical subsets from your selected numbers, with pricing formulas and prize-compounding matrices.
Lotto Max Combo 5 evaluates all 2-number pairs across the remaining 47 pool balls.
Combination plays automate combinatorial mathematics on your ticket. See the exact mathematical formulas lottery terminals use to generate multi-line wagers, why 5-number combos invert the standard selection model, and how a single winning draw triggers cascading payouts across multiple tiers.
Interactive Combination Play Calculator
Calculate combinations generated, line breakdowns, and total retail ticket price.
Rule Engine Note: Matches your 5 chosen numbers with every remaining number in the 1–49 pool (44 lines).
What Is Combination Play?
Combination Play (Combo Play) lets you select more (or fewer) numbers than a standard lottery line. The lottery terminal automatically generates and wagers every possible mathematical subset from your choices. When your numbers hit, multiple generated lines win simultaneously.
Lotto 6/49 Combination Matrix
In a standard 6-number game (Lotto 6/49, BC/49, Ontario 49, Western 49, Québec 49), you can choose 5, 7, 8, or 9 numbers.
| Combo Type | Numbers Chosen | Combinations Generated | 6/49 Cost ($3/line) | Regional 49 Cost ($1/line) |
|---|---|---|---|---|
| Combo 5 | 5 numbers | 44 lines (paired vs all pool numbers) | $132.00 | $44.00 |
| Combo 7 | 7 numbers | 7 lines (C(7,6)) | $21.00 | $7.00 |
| Combo 8 | 8 numbers | 28 lines (C(8,6)) | $84.00 | $28.00 |
| Combo 9 | 9 numbers | 84 lines (C(9,6)) | $252.00 | $84.00 |
Lotto Max 52-Ball Combinations and Quick Pick Bundles
In Lotto Max, combination play works on a 7-number requirement from a 52-ball pool. Because Lotto Max sells in multi-line packages, selecting Combo 8 generates 8 custom lines plus 24 auto-generated Quick Pick lines (32 lines total for $48.00). Selecting Combo 5 evaluates all pairs across the remaining 47 balls ($C(47,2) = 1,081$ lines for $6,486.00).
How Winning Prizes Compound on Combination Tickets
When you win with a Combination ticket, you do not win just one prize tier. Because multiple subsets share your winning digits, your payout multiplies across dozens of subordinate lines.
Frequently Asked Questions
Does combination play increase my odds of winning?
Combination play increases your total lines wagered proportionally to the price paid. Your odds per line remain identical to buying separate individual tickets.
Is combination play available online in all provinces?
No. For example, BCLC limits Lotto Max combination play to retail terminals only, and ALC discontinued Lotto Max combination play.