How Many Number Combinations Are In Mega Millions?

Lottery How Many Number Combinations Are In Mega Millions?

But, before we go into how many number combinations are conceivable, we must first grasp how the game works. Mega Millions is a lottery with two prizes. It demands players to select five different numbers (the white balls) ranging from 1 to 70, as well as another number ranging from 1 to 25 (the mega ball). You win Mega Millions if you correctly anticipate the white balls and the Mega Ball, and lesser tier prizes if you match at least the Mega Ball.

Every Tuesday and Friday, the draw is held using two drawing machines, one for the white ball and one for the super ball. Each game’s ball sets and drawing equipment are chosen at random and validated by an outside inspector to ensure that each number has an equal probability of being drawn. The lottery drawing machinery and ball sets are also subjected to numerous testing to verify that the drawing is random. As a result, it is impossible to forecast which numbers will be correct.

Watch the Mega Millions drawing live on WSB-TV at 11:00 p.m. on draw days to see how the balls emerge.

Counting the Number of Mega Millions Lottery Combinations

To compute the number of feasible lottery combinations, we must analyse how to select five balls from a pool of 70 and one Mega ball from a pool of 25. The binomial coefficient formula can be used to do this. The binomial coefficient describes how many different methods there are to select a number from a pool of larger numbers. In the Mega Millions lottery, we wish to choose five numbers from a pool of 70 and an additional Mega Ball number from a pool of 25. As a result, the computation will be divided into two steps.

The total number of combinations will equal the product of the individual white ball combinations and the Megaball combination.

Calculating the Number of Combinations in the Mega Millions

  • n represents the total number of balls
  • k represents the number of balls to be selected
  • “!” represents the factorial sign, which is the product of all positive integers up to the given numbers.

Let’s get started.

Steps Parameters Formula Result
Choosing the white balls n = 70k = 5 Combination formula 12,103,014
Choosing the Powerballs n = 25k = 1 Combination formulas 25
Product 302,575,350

We add these two values together to get the total number of combinations:

Total Combinations = 121,103,014 X 25 = 302,575,350 combinations

In comparison to other lotteries

Mega Millions has one of the highest possible combinations in the lottery, trailing only Italy’s SuperEnalotto and Powerball. This is due to variables like as the number pool, the amount of balls drawn, and whether or not bonus numbers are included. Mega Million is a difficult game to win due to the numerous possible combinations. However, it compensates for this by offering a massive jackpot that has the potential to roll over until someone wins it.

The table below compares Mega Millions lottery combinations to other lotteries.

Lottery Game Format Number of Possible Combinations
Mega Millions 5/70 + 1/26 302,575,350
Powerball 5/69 + 1/26 292,201,338
EuroMillions 5/50 + 2/12 1:139,838,160
Eurojackpot 5/50 + 2/10 1:95,344,200
Italy SuperEnalotto 6/90 1:622,614,630
Brazil Mega Sena 6/60 1:50,063,860
Canada Lotto 6/49 6/49 1:13,983,816
Oz Lotto 7+2/45 1:45,379,620

The Impact of Megaplier on Number Combinations

The Megaplier is a one-of-a-kind feature that players can add to their Mega Millions entry to multiply non-jackpot rewards by 2, 3, 4, or 5. Ticket prices are an extra $1. The multiplier effect is likewise completely arbitrary. The Megaplier is picked from a pool of 15 balls before each Mega Millions drawing begins. This set includes five 2X balls, six 3X balls, three 4X balls, and one 5X ball. The Megaplier number for the draw is determined by the ball that appears. For example, if your Megaplier number is 5, you will be awarded the second-tier prize of $1,000,000. Your award will be $5,000,000.

The Megaplier, on the other hand, has no effect on the number of combinations or your chances of winning the Mega Millions. Whether or not you employ the Megaplier option, the game’s odds and the number of viable combinations remain constant.

Can You Purchase All Mega Millions Combinations?

If you can pay the exorbitant ticket prices, it appears theoretically possible to purchase all possible Mega Millions combinations. Purchasing all 302,575,350 possible combinations will cost you almost $605 million. Even if you have as much money to spend on the game, many practical constraints make it unrealistic. Filling out that many tickets, for example, will be impossible in time for the drawing. Even so, lottery merchants may impose sales limits on the quantity of tickets they can sell in a certain time period.

Another thing to evaluate is whether the total winning is worthwhile. We know that the Mega Millions jackpot begins at $20 million and continues to grow until someone wins. Purchasing all tickets will be worthwhile only after the prize has risen to billions of dollars. A large number of tickets will also be eligible for lower-tier prizes. Consider the following example.

The table below assumes that the jackpot amount is $800 million and that we purchased all of the tickets.

Number matched Number of tickets Advertised Prize Total Prize Money
5 + 1 1 $800,000,000 $800,000,000
5 24 $1,000,000 $24,000,000
4 + 1 325 $10,000 $3,250,000
4 7,800 $500 $3,900,000
3 + 1 20,800 $200 $4,160,000
3 499,200 $10 $4,992,000
2 + 1 436,800 $10 $4,368,000
1 + 1 3,385,200 $4 $13,540,800
1 8,259,888 $2 $16,519,776
0 289,965,312 $0 $0
Grand total $874,730,576
Total cost of tickets $605,150,700
Net Profit $269,579,876

According to the table, if we buy all of the tickets when the jackpot sum is $800 million, we will wind up with $874,730,579 at the end. When we subtract the total cost of tickets to calculate our net profit, we get a whopping $269,579,876. This appears to be good business, but we must also consider possible deductions from your gains.

The presence of another winner may result in the loss of your prize. If someone else wins the prize, you must split it equally with them. As a result of another winner, you will receive $400,000 as the jackpot prize. This results in a total of $474,730,576, which is already less than the amount.

You will also be subject to federal and state taxes, which can amount to up to 40% of your winnings. This can reduce your winnings even further. Your prize will be reduced to $337,058,708 using our Mega Millions payment and tax calculator for the state of Arizona. Based on this research, we can conclude that purchasing all of the tickets resulted in a significant loss.

Considering all of the aspects and hazards involved, purchasing all possible Mega Millions combinations would not be the optimal strategy for lottery success. You’re better off playing with money you can afford to lose if you don’t win and employing lottery techniques and suggestions to boost your odds.


The vast amount of Mega Millions number combinations makes covering all possible outcomes unfeasible. This is why players must consider alternative strategies in order to overcome the unfavourable odds. They could experiment with lottery tactics such as wheeling systems, rapid picks, and Pick 5. Try these tactics with reputable and fully licenced lottery websites like as theLotter and Lotto Agent.

They might also look at previous Mega Millions results to determine the hot and cold numbers, or they could use lottery software to produce lottery combinations that have a good chance of appearing in the draw.


How can I get a Mega Millions winning combination?

In Mega Millions, the only way to get a winning combination is to purchase all 302 million combinations. If you purchase all of the combinations, you will have a one-in-a-million chance of winning the Mega Millions. In fact, however, this will be impossible to achieve.

How likely are you to win the Mega Millions jackpot?

The Mega Millions jackpot has a 1 in 302,575,350 chance of being won. The Mega Millions game is difficult to win due to its low odds.

Should I choose my own numbers or use Quick Pick?

Neither is superior. Choosing your own number allows you to choose your lucky numbers, whilst Quick Pick allows the computer to produce random lottery numbers. Both techniques provide the same odds of winning the game.

Are there any methods for selecting Mega Millions numbers?

Yes, there are methods for selecting Mega Millions numbers. Pick 5, a wheeling system, rapid pick, and lottery prediction software are all popular Mega Millions tactics.

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