| Odds & Sods :- | Tattersalls Rule 4 | Ante Post Betting |
NUMBER CALCULATIONS
| Doubles | Trebles | Fourfolds | Fivefolds | Sixfolds | Sevenfolds | Eightfolds | Lottery |
EASY CALCULATIONS FOR BETS, LOTTERY, AND FOOTBALL POOLS.
This is the method to determine the total number of bets from any amount of selections. It is an excellent way of calculating lottery and football pools permutations, as well as doubles, trebles and accumulators, etc.
It is a simple division sum each time as follows.
From 3 selections (1, 2 and 3)
|
Mutiply the last two numbers (2 x 3) = 6 |
| Muliply the first two numbers (1 x 2) = 2 |
Then Divide the top result by the bottom
| 6 Divided by 2 = 3 |
The result is the number of Doubles you will have from 3 selections.
From 4 selections (1, 2, 3 and 4)
|
Multiply the last two numbers (3 x 4) =12 |
| Multiply the first two numbers (1 x 2) = 2 |
Then Divide the top result by the bottom
| 12 Divided by 2 = 6 |
The result is the number of Doubles you will have from 4 selections.
From 6 selections (1, 2, 3, 4, 5, and 6)
|
Multiply the last two numbers (5 x 6) = 30 |
| Multiply the first two numbers (1 x 2) = 2 |
Then Divide the top result by the bottom
| 30 Divided by 2 = 15 |
The result is the number of Doubles you will have from 6 selections.
From 12 selections (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12)
|
Multiply the last two numbers (11 x 12) = 132 |
| Multiply the first two numbers (1 x 2) = 2 |
Then Divide the top result by the bottom
| 132 Divided by 2 = 66 |
The result is the number of Doubles you will have from 12 selections.
The calculation for the Trebles is the same except you multiply the Last and First 3 numbers.
From 4 selections (1, 2, 3 and 4)
|
Multiply the last three numbers (2 x 3 x 4) = 24 |
| Multiply the first three numbers (1 x 2 x 3) = 6 |
Then Divide the top result by the bottom
| 24 Divided by 6 = 4 |
The result is the number of Trebles you will have from 4 selections.
From 5 selections (1, 2, 3, 4 and 5)
|
Multiply the last three numbers (3 x 4 x 5) = 60 |
| Multiply the first three numbers (1 x 2 x 3) = 6 |
Then Divide the top result by the bottom
| 60 Divided by 6 = 10 |
The result is the number of Trebles you will have from 5 selections.
From 8 selections (1, 2, 3, 4, 5, 6, 7 and 8)
|
Multiply the last three numbers (6 x 7 x 8) = 336 |
| Multiply the first three numbers (1 x 2 x 3) = 6 |
Then Divide the top result by the bottom
| 336 Divided by 6 = 56 |
The result is the number of Trebles you will have from 8 selections.
The same principle applies as above for calculating Fourfolds, you multiply the Last and First 4 numbers.
From 6 selections (1, 2, 3, 4, 5 and 6)
|
Multiply the last four numbers (3 x 4 x 5 x 6) = 360 |
| Multiply the first four numbers (1 x 2 x 3 x 4) = 24 |
Then Divide the top result by the bottom
| 360 Divided by 24 = 15 |
The result is the number of Fourfolds you will have from 6 selections.
From 8 selections (1, 2, 3, 4, 5, 6, 7 and 8)
|
Multiply the last four numbers (5 x 6 x 7 x 8) = 1680 |
| Multiply the first four numbers (1 x 2 x 3 x 4) = 24 |
Then Divide the top result by the bottom
| 1680 Divided by 24 = 70 |
The result is the number of Fourfolds you will have from 8 selections.
From 10 selections (1, 2, 3, 4, 5, 6, 7, 8, 9 and 10)
|
Multiply the last four numbers (7 x 8 x 9 x 10) = 5040 |
| Multiply the first four numbers (1 x 2 x 3 x 4) = 24 |
Then Divide the top result by the bottom
| 5040 Divided by 24 = 210 |
The result is the number of Fourfolds you will have from 10 selections.
| Top of Page |
As before only multiply Last and First 5 numbers.
From 6 selections (1, 2, 3, 4, 5 and 6)
|
Multiply the last five numbers (2 x 3 x 4 x 5 x 6) = 720 |
| Multiply the first five numbers (1 x 2 x 3 x 4 x 5) = 120 |
Then Divide the top result by the bottom
| 720 Divided by 120 = 6 |
The result is the number of Fivefolds you will have from 6 selections.
From 8 selections (1, 2, 3, 4, 5, 6, 7 and 8)
|
Multiply the last five numbers (4 x 5 x 6 x 7 x 8) = 6720 |
| Multiply the first five numbers (1 x 2 x 3 x 4 x 5) = 120 |
Then Divide the top result by the bottom
| 6720 Divided by 120 = 56 |
The result is the number of Fivefolds you will have from 8 selections.
SIXFOLDS ---- Useful for Lottery perms
From 8 selections (1, 2, 3, 4, 5, 6, 7 and 8)
|
Multiply the last six numbers (3 x 4 x 5 x 6 x 7 x 8) = 20160 |
| Multiply the first six numbers (1 x 2 x 3 x 4 x 5 x 6) = 720 |
Then Divide the top result by the bottom
| 20160 Divided by 720 = 28 |
The result is the number of Sixfolds you will have from 8 selections.
From 10 selections (1, 2, 3, 4, 5, 6, 7, 8, 9 and 10)
|
Multiply the last six numbers (5 x 6 x 7 x 8 x 9 x 10) = 151200 |
| Multiply the first six numbers (1 x 2 x 3 x 4 x 5 x 6) = 720 |
Then Divide the top result by the bottom
| 151200 Divided by 720 = 210 |
The result is the number of Sixfolds you will have from 10 selections.
Some interesting calculations regarding the real chances of winning lotteries, based on the the amount of sixfolds possible from the total number in each lottery.
From 42 selections -- Irish Lottery
|
Multiply the last six numbers (37 x 38 x 39 x 40 x 41 x 42) = 3776965920 |
| Multiply the first six numbers (1 x 2 x 3 x 4 x 5 x 6) = 720 |
| 3776965920 Divided by 720 = 5,245,786 |
Odds to win Irish lottery are 5,245,785 to 1
From 49 selections -- British, German and Spanish Lotteries
|
Multiply the last six numbers (44 x 45 x 46 x 47 x 48 x 49) = 1006834752 |
| Multiply the first six numbers (1 x 2 x 3 x 4 x 5 x 6) = 720 |
| 1006834752 Divided by 720 = 13,983,816 |
Odds to win these lotteries are 13,983,815 to 1
From 51 selections -- New York Lottery
|
Multiply the last six numbers (46 x 47 x 48 x 49 x 50 x 51) = 129,668,112 |
| Multiply the first six numbers (1 x 2 x 3 x 4 x 5 x 6) = 720 |
| 129,668,112 Divided by 720 = 18,009,460 |
Odds to win the New York lottery are 18,009,459 to 1
From 53 selections -- Proposed British Lottery
|
Multiply the last six numbers (48 x 49 x 50 x 51 x 52 x 53) = 165,293,856 |
| Multiply the first six numbers (1 x 2 x 3 x 4 x 5 x 6) = 720 |
| 165,293,856 Divided by 720 = 22,957,480 |
Odds to win the Proposed British lottery are 22,957,479 to 1
From 8 selections
|
Multiply the last seven numbers (2 x 3 x 4 x 5 x 6 x 7 x 8 ) = 40320 |
| Multiply the first seven numbers (1 x 2 x 3 x 4 x 5 x 6 x 7) = 5040 |
| 40320 Divided by 5040 = 8 |
Therefore there are 8 sevenfolds with 8 selections.
From 9 selections
|
Multiply the last seven numbers (3 x 4 x 5 x 6 x 7 x 8 x 9 ) = 181440 |
| Multiply the first seven numbers (1 x 2 x 3 x 4 x 5 x 6 x 7) = 5040 |
| 181440 Divided by 5040 = 36 |
Therefore there are 36 sevenfolds with 9 selections.
EIGHTFOLDS -- Useful for Football Pools Permutations
From 9 selections
|
Multiply the last eight numbers (2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) = 362880 |
| Multiply the first eight numbers (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8) = 40320 |
| 362880 Divided by 40320 = 9 |
Therefore there are 9 eightfolds with 9 selections.
From 10 selections
|
Multiply the last eight numbers (3 x 4 x 5 x 6 x 7 x 8 x 9 x 10) = 1814400 |
| Multiply the first eight numbers (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8) = 40320 |
| 1814400 Divided by 40320 = 45 |
Therefore there are 45 eightfolds with 10 selections.
From 11 selections
|
Multiply the last eight numbers (4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 ) = 6652800 |
| Multiply the first eight numbers (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8) = 40320 |
| 6652800 Divided by 40320 = 165 |
Therefore there are 165 eightfolds with 11 selections.
From 12 selections
|
Multiply the last eight numbers (5 x 6 x 7 x 8 x 9 x 10 x 11 x 12) = 19958400 |
| Multiply the first eight numbers (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8) = 40320 |
| 19958400 Divided by 40320 = 495 |
Therefore there are 495 eightfolds with 12 selections.
Any other possibilities can be calculated the same way.
| Tattersalls Rule 4 | Ante Post Betting |