Permutations help

Trebles = 3X1X1 = 3
Doubles = (A,B,C)XD=3 + (A,B,C)XE=3 + DXE=1 = 7

I hope it is clear enough

It is clear but what is the general formula?

You have to multiply the number of selections of each race.
Race A  Sel a b c
Race B  Sel d e

Doubles = 3X2 = 6  ad ae bd be cd ce

Race C  Sel f g h i

Trebles = 3X2X4 = 24

For the doubles you could use the formula (T^2-a^2-b^2-c^2...)/2 where T= the total number of horses and a,b,c etc are how many horses are in each race. So if you had 4 races with 2,3,4 and 5 runners, it would be =(196-25-16-9-4)/2 = 71 doubles

Race A - a number of selections
Race B - b number of selections
Race C - c number of selections

Trebles = a times b times c
Doubles = a times b plus a times c plus b times c

And so on for more races and quadruples, quintuples, etc.

thanks guy. I will try these

I am the one and only223 what is the formula for treble and four fold?

thanks

the double works really well

or much simpler just enter the selections you wish to perm on a betslip on the bet365 website,select multiple bet options

I know but I would like to have it in my software

Nov 3, 2014 -- 7:18PM, Phantom Knight wrote:

I am the one and only223 what is the formula for treble and four fold?thanks

Just add race D to my equation above.

Quads = a x b x c x d
Trebles = a x b x c + a x b x d + a x c x d + b x c x d

Repeat for doubles, and for a fifth, sixth race etc.

I am, now you have the answers, perhaps you
should try to work it out yourelf, try say
5 races looking for doubles trebles 4 timers etc.
you will soon crack it.

Use the Pyramid Block.

....and forget the stake unit because there is none. Then the singles column will hold the number of selections and the doubles column the number of doubles etc.

An Excel based solution:

For 5 horses (or 5 matches)

+++ trebles : +++

you have to place in A3 (for example)  5
id of trebles in     B3                3

Then in any other cell place this formula:
=COMBIN(A3,B3)

this gives you the number of trebles for 5 horses  (or five matches etc )
(aka 10)

+++ doubles : +++

you have to place in A4 (for example)  5
id of doubles in     B4                2

Then in any other cell place this formula
=COMBIN(A4,B4)

this gives you the number of doubles for 5 horses  (or five matches etc )

For both trebles and doubles the value is the same : 10


+++++++++ excel help ++++++++++++

COMBIN

Returns the number of combinations for a given number of items. Use COMBIN to determine the total possible number of groups for a given number of items.

Syntax

COMBIN(number,number_chosen)

Number   is the number of items.

Number_chosen   is the number of items in each combination.

Remarks

Numeric arguments are truncated to integers.
If either argument is nonnumeric, COMBIN returns the #VALUE! error value.
If number < 0, number_chosen < 0, or number < number_chosen, COMBIN returns the #NUM! error value.
A combination is any set or subset of items, regardless of their internal order. Combinations are distinct from permutations, for which the internal order is significant.

I use nodejs and mongoDB to work out all combination and then I count them

I've made you a calculator..

www.advancedbetcalc.com/Downloads.aspx

Cheers

thanks