Football Permutations Calculator

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Find out how many different ways to choose items.
For an in-depth explanation of the formulas please visit Combinations and Permutations.


Note: The old Flash version is here.

For an in-depth explanation please visit Combinations and Permutations.

As with permutations, the calculator provided only considers the case of combinations without replacement, and the case of combinations with replacement will not be discussed. Using the example of a soccer team again, find the number of ways to choose 2 strikers from a team of 11. Unlike the case given in the permutation example, where the. Permutations While a big part of what I do with football data is predictive, I wanted something that neutrally describes what’s actually possible (and impossible). I’ve written some code that runs through every possible combination of results from a given round of matches and works out what the league table would look like for each one. Introduction to Combinatorics and Probability Theory. This article is a step-by-step guide explaining how to compute the probability that, for example, exactly 4 out of 6 picks win, or how to calculate the likelihood that at least 4 of 6 bets win. To help your understanding of this topic you will need to comprehend the basics of football result probability calculations, which I explained in.

Power Users!

The same concept can be applied to additional columns; simply modify the counter to account for additional permutations. For more than two lists, you need to take a different approach with your counter. Try this formula out in Excel. With lists in columns A, B and C, place this formula in column D and drag down to the number of possible. Permutation betting, to reduce the overall risk of betting on multiple selections. The best way to fully explain permutation betting, and the benefits it offers, is to use some examples that show how it works in practice. Example 1 – Two Selections. Our first example is.

You can now add 'Rules' that will reduce the List:

The 'has' rule which says that certain items must be included (for the entry to be included).

Example: has 2,a,b,c means that an entry must have at least two of the letters a, b and c.

The 'no' rule which means that some items from the list must not occur together.

Example: no 2,a,b,c means that an entry must not have two or more of the letters a, b and c.

The 'pattern' rule is used to impose some kind of pattern to each entry.

Example: pattern c,* means that the letter c must be first (anything else can follow)

Put the rule on its own line:

Example: the 'has' rule

a,b,c,d,e,f,g
has 2,a,b

Combinations of a,b,c,d,e,f,g that have at least 2 of a,b or c

Rules In Detail

The 'has' Rule

The word 'has' followed by a space and a number. Then a comma and a list of items separated by commas.

The number says how many (minimum) from the list are needed for that result to be allowed.

Example has 1,a,b,c

Will allow if there is an a, or b, or c, or a and b, or a and c, or b and c, or all three a,b and c.

In other words, it insists there be an a or b or c in the result.

So {a,e,f} is accepted, but {d,e,f} is rejected.

Example has 2,a,b,c

Will allow if there is an a and b, or a and c, or b and c, or all three a,b and c.

In other words, it insists there be at least 2 of a or b or c in the result.

So {a,b,f} is accepted, but {a,e,f} is rejected.

The 'no' Rule

The word 'no' followed by a space and a number. Then a comma and a list of items separated by commas.

The number says how many (minimum) from the list are needed to be a rejection.

Example: n=5, r=3, Order=no, Replace=no

Which normally produces:

{a,b,c} {a,b,d} {a,b,e} {a,c,d} {a,c,e} {a,d,e} {b,c,d} {b,c,e} {b,d,e} {c,d,e}

But when we add a 'no' rule like this:

a,b,c,d,e,f,g
no 2,a,b

We get:

{a,c,d} {a,c,e} {a,d,e} {b,c,d} {b,c,e} {b,d,e} {c,d,e}

The entries {a,b,c}, {a,b,d} and {a,b,e} are missing because the rule says we can't have 2 from the list a,b (having an a or b is fine, but not together)

Example: no 2,a,b,c

Allows only these:

{a,d,e} {b,d,e} {c,d,e}

It has rejected any with a and b, or a and c, or b and c, or even all three a,b and c.

So {a,d,e) is allowed (only one out of a,b and c is in that)

Distinguished Permutation Calculator

But {b,c,d} is rejected (it has 2 from the list a,b,c)

Example: no 3,a,b,c

Permutations

Allows all of these:

{a,b,d} {a,b,e} {a,c,d} {a,c,e} {a,d,e} {b,c,d} {b,c,e} {b,d,e} {c,d,e}

Only {a,b,c} is missing because that is the only one that has 3 from the list a,b,c

The 'pattern' Rule

The word 'pattern' followed by a space and a list of items separated by commas.

You can include these 'special' items:

  • ? (question mark) means any item. It is like a 'wildcard'.
  • * (an asterisk) means any number of items (0, 1, or more). Like a 'super wildcard'.

Example: pattern ?,c,*,f

Means 'any item, followed by c, followed by zero or more items, then f'

So {a,c,d,f} is allowed

And {b,c,f,g} is also allowed (there are no items between c and f, which is OK)

But {c,d,e,f} is not, because there is no item before c.

Permutation Word Calculator

Example: how many ways can Alex, Betty, Carol and John be lined up, with John after Alex.

Permutation Multiplication Calculator

Use: n=4, r=4, order=yes, replace=no.

Football Permutations Calculator Game

The result is:

Combination And Permutation Calculator Soup

{Alex,Betty,Carol,John} {Alex,Betty,John,Carol} {Alex,Carol,Betty,John} {Alex,Carol,John,Betty} {Alex,John,Betty,Carol} {Alex,John,Carol,Betty} {Betty,Alex,Carol,John} {Betty,Alex,John,Carol} {Betty,Carol,Alex,John} {Carol,Alex,Betty,John} {Carol,Alex,John,Betty} {Carol,Betty,Alex,John}