Thirty-two million, four hundred sixty-eight thousand, four hundred thirty-six. That number — 32,468,436 — is the exact count of distinct ways you can combine 6 numbers chosen from 1 to 56 on a Melate ticket. It is also your odds of hitting the jackpot with a single ticket: one in 32,468,436. Written as a figure, it barely registers in the mind. But once you start translating it into real-world terms, the number takes on a dimension that is at once fascinating and clarifying.
The game in one sentence: 6 from 56
To understand where that number comes from, you first need to understand how Melate works. In each draw — held on Wednesdays, Fridays, and Sundays at around 9:00 PM — a machine pulls out 6 numbers from 1 to 56, plus one additional number. To win the jackpot, you need to match all 6 main numbers in any order. Whether you wrote them high-to-low or low-to-high does not matter; only the presence of those 6 numbers on your ticket counts.
That phrase — "in any order" — is the key. It means we are counting combinations, not permutations. If the game required an exact sequence, the total number of possibilities would be astronomically larger. Because order is irrelevant, the count of unique possible combinations is what sets your probability of winning the top prize. For a complete overview of how the game is played, see our guide on how to play Melate.
The formula: combinations without repetition
In mathematics, the number of ways to choose a subset of size k from a set of n elements — ignoring order, without repeating any element — is called a binomial coefficient, written C(n, k) or "n choose k." The formula is:
C(n, k) = n! / (k! × (n−k)!)
The symbol ! means factorial: the product of all positive integers up to that number. For Melate, n = 56 (available numbers) and k = 6 (numbers you must choose). The step-by-step calculation:
- Numerator: 56 × 55 × 54 × 53 × 52 × 51 = 194,810,616
- Denominator: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
- Result: 194,810,616 ÷ 720 = 32,468,436
This is not an estimate or a rounded figure. It is the exact result of that calculation. Every ticket you buy represents precisely one of those 32.4 million possible combinations — no more, no less.
Just how big is 32 million? Scale analogies
Large numbers are notoriously difficult to feel intuitively. Here are some concrete comparisons to give the number real weight:
- A year in seconds. One calendar year contains roughly 31,536,000 seconds. Melate's combination count — 32,468,436 — is slightly larger than that. If you could check one different combination per second, without stopping, it would take you more than a full year to exhaust all possibilities, starting at midnight on January 1st.
- Mexico City, more than three times over. The core municipality of the country's capital is home to roughly 9 million people. To match Melate's combination count, you would need to gather the equivalent of more than three cities that size in one place.
- Tickets stacked to the clouds. If you printed every possible combination on a 0.1 mm-thick sheet of paper and stacked them, the column would rise more than 3,200 meters — about three times the height of Mexico's Pico de Orizaba, the country's highest peak.
- Draws for a lifetime. Melate runs three draws per week. If you bought one unique ticket at every single draw for 80 full years without missing a single one, you would cover roughly 12,480 combinations. That is 0.000038 percent of the total possibilities.
None of these analogies are meant to discourage you from playing. Their purpose is to make the scale concrete rather than abstract — it is worth knowing what a ticket is actually up against. For a full breakdown of Melate's prize odds across every tier, not just the jackpot, see our page on Melate winning odds.
Melate Retro: same game, different scale
There is an important variant to know about: Melate Retro, drawn on Tuesdays and Saturdays. In Retro, you pick 6 numbers from 1 to 39. Applying the same combination formula:
- Numerator: 39 × 38 × 37 × 36 × 35 × 34 = 2,349,088,560
- Denominator: 720
- Result: 2,349,088,560 ÷ 720 = 3,262,623
That is nearly ten times fewer combinations than classic Melate, which translates directly into jackpot odds that are nearly ten times better: 1 in 3,262,623. Same mathematical logic, smaller pool. Both variants have their own trade-offs and considerations; for a side-by-side comparison, read Melate vs. Melate Retro.
Why 56 numbers and not more or fewer?
Pronósticos para la Asistencia Pública, the federal body that runs Melate, has adjusted the number range at different points in the game's history. The current 6/56 format reflects a deliberate balance between two competing pressures: if the pool were too small, the jackpot would be easy to win and the prize fund would never build to levels that drive widespread ticket sales; if the pool were too large, the jackpot would feel functionally impossible and participation would decline. The number 56 is where Pronósticos has found an equilibrium that sustains the game.
The result is a lottery where jackpots can accumulate across multiple weeks — the all-time record pot reached $639.5 million Mexican pesos in draw 2677 in 2013 — without the game feeling out of reach to the everyday player. That balance is a direct consequence of the combinatorics at work.
Can I improve my odds by picking better numbers?
This is probably the most common question among regular players, and the honest answer is: no. Every combination of 6 numbers has exactly the same probability of being drawn: 1 in 32,468,436. It makes no difference whether you choose the most frequently drawn numbers in Melate's history, the ones most overdue for an appearance, an arithmetic progression, or the numbers from last night's dream. The Melate machine has no memory and shows no preference for any number over any other across draws.
What you can do is make informed decisions about how many tickets you buy and how often you play. Playing in a group, for example, lets each person cover more combinations without increasing their individual spending. You can read more about that approach in our article on playing Melate in a group. For a broader, honest look at whether playing is worth it from a financial perspective, our article is Melate worth playing? addresses the question directly.
What no system, method, or frequency analysis can do is raise the probability of any individual ticket beyond that straightforward linear ratio. If you see a "strategy" being advertised that claims to do exactly that, treat it as a red flag.
Frequently asked questions
How many possible combinations does Melate have?
Exactly 32,468,436. This is the result of the combination formula C(56, 6): the number of ways to choose 6 numbers from a pool of 56 without repetition and regardless of order.
How is the number of combinations calculated?
Using the binomial coefficient formula C(n, k) = n! / (k! × (n−k)!). For Melate: C(56, 6) = (56 × 55 × 54 × 53 × 52 × 51) ÷ 720 = 32,468,436. The denominator 720 is 6 factorial — that is, 6 × 5 × 4 × 3 × 2 × 1.
How many combinations does Melate Retro have?
Melate Retro draws 6 numbers from 1 to 39, giving C(39, 6) = 3,262,623 combinations. The jackpot odds in Retro are nearly ten times better than in classic Melate, precisely because the universe of possibilities is nearly ten times smaller.
Does buying more tickets improve my odds?
Yes, in direct and linear proportion. Two tickets with different combinations double your probability; ten tickets multiply it by ten. However, given the size of the combination space (over 32 million), even a hundred distinct tickets leaves your probability in the marginal range. No system improves the odds of any individual ticket beyond that straightforward linear relationship.
Does the additional number affect the total combinations for the jackpot?
No, not for the top prize. Melate's additional number comes into play for lower-tier prizes depending on the ticket type. To win the jackpot, you only need to match the 6 main numbers — and the universe for those is exactly 32,468,436 combinations.
Want to see which number combinations carry the strongest historical frequency before making your picks? Check out MelateBot AI Picks and let the data analysis do the filtering for you.
MelateBot is not affiliated with Pronósticos para la Asistencia Pública or the Mexican federal government. Melate is a game of chance administered by a government body; no method, frequency analysis, or third-party tool predicts, guarantees, or improves the individual odds of winning the jackpot. Please play responsibly and within your means.