How it Works

Perms

Does anyone know how perms work?
As in if i had 10 numbers, how many perms of 3 numbers would there be? And how many perms of 4 numbers would there be?
Bearing in mind, its for the lotto, so it doesnt matter what order they are in, so that should reduce the amount down by far.
cheers...

MrBen5 Wed 02/07/08 16:40

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R1Geezer
Wed 02/07/08
17:47

well you don't want perms for the lottery as the order is not important, what you want is combinations. If you had 10 numbers then there are:

(10x9x8x7)/(1x2x3x4) cmbinations so 5040/24 = 210 sets of 4 numbers
(10x9x8)/(1x2x3) = 720/6 = 120 sets of 3 numbers

MrBen5
Wed 02/07/08
19:37

Question Author

Hmmm, cheers.
I dont understand how there can be more sets of 4 number ones though???

R1Geezer
Thurs 03/07/08
10:41

why is that surprising? there are 252 ways of choosing 5 numbers!

the forumula for the number of combinations of X from N is thus:

N! / ((N-X)!X!)

MrBen5
Thurs 03/07/08
19:06

Question Author

Hmmm, i suppose it doesnt make sense to me.
I know there is a formula, but surely the number of combo's decrease as you pick more from the 10 numbers.
Can you tell me how many combos there are if there was 9 from 10?

novalis
Thurs 03/07/08
19:10

Any 9 from 10 = 10.
It goes up then comes back down so th figures given already are correct.

R1Geezer
Fri 04/07/08
10:45

I'd stay away from Maths if I was you mate!

weggiewabbit
Fri 04/07/08
22:50

As stated above,

Any 3 from 10 = 120
Any 4 from 10 = 210
Any 5 from 10 = 252
Any 6 from 10 = 210 (same as leaving any 4 out)

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