Eurojackpot odds of winning

To find the total number of combinations for winning the lottery jackpot with a main pool of 1 to 50 and a separate pool of 1 to 12, we first calculate the number of combinations for each pool and then multiply them together to get the total number of combinations.

For the main pool (1 to 50), where you need to select 5 numbers, the number of combinations is calculated using the combination formula:

Number of Combinations = 50 ! 5 ! × ( 50 − 5 ) ! Number of Combinations= 5!×(50−5)! 50! ​

For the Euro Numbers pool (1 to 12), where you need to select 2 numbers, the number of combinations is calculated similarly:

Number of Combinations = 12 ! 2 ! × ( 12 − 2 ) ! Number of Combinations= 2!×(12−2)! 12! ​

Let's calculate:

For the main pool: Number of Combinations = 50 ! 5 ! × ( 50 − 5 ) ! Number of Combinations= 5!×(50−5)! 50! ​ = 50 ! 5 ! × 45 ! = 5!×45! 50! ​ = 50 × 49 × 48 × 47 × 46 5 × 4 × 3 × 2 × 1 = 5×4×3×2×1 50×49×48×47×46 ​ = 2 , 118 , 760 =2,118,760 For the Euro Numbers pool: Number of Combinations = 12 ! 2 ! × ( 12 − 2 ) ! Number of Combinations= 2!×(12−2)! 12! ​ = 12 ! 2 ! × 10 ! = 2!×10! 12! ​ = 12 × 11 2 × 1 = 2×1 12×11 ​ = 66 =66

Now, to find the total number of combinations for winning the jackpot, we multiply the number of combinations from the main pool by the number of combinations from the Euro Numbers pool:

Total Combinations = 2 , 118 , 760 × 66 Total Combinations=2,118,760×66 = 139 , 838 , 160 =139,838,160

So, there are a total of 139,838,160 possible combinations to win the jackpot in this lottery game.