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Resources & Downloads => Mathematics => Topic started by: nottophammer on Oct 10, 04:31 PM 2014

Title: permutations
Post by: nottophammer on Oct 10, 04:31 PM 2014
anyone
you have 6 boxes  and the first line is 1,2,1,2,1,2. 

How many more perms can we get of the above.

Be most gratefull, NTH
Title: Re: permutations
Post by: nottophammer on Oct 10, 04:40 PM 2014
will there be 8 combo's
Title: Re: permutations
Post by: Turner on Oct 10, 05:51 PM 2014
not sure what you mean by boxes

Are you asking how many combos of 2 or 1 are in 6?

so
111111
111112
111121
111122
111211
etc

that is 26 = 64
Title: Re: permutations
Post by: nottophammer on Oct 10, 06:15 PM 2014
Hi turner,
Mm, okay something like this

121212
112122
211122  each line will have 3*1's and 3*2's,
how many more,hope this helps.

Cheers Turner
Title: Re: permutations
Post by: Turner on Oct 11, 04:30 AM 2014
Its 20
6!/3!/3!

! Is factorial so 6! = 6x5x4x3x2x1

Ex. How many perms of 2streets are there

12!/2!/10!
10 is difference between 12 & 2

Ex2
Chances of winning UK lotto is around 13M to 1
Or....how many 6 combos in 49
49!/6!/43!
Hope that helps
Title: Re: permutations
Post by: nottophammer on Oct 11, 05:07 AM 2014
thanks Turner  :thumbsup:
Title: Re: permutations
Post by: nottophammer on Oct 11, 10:31 AM 2014
Hi Turner
if we have 1,2,1,2,1,2,1,2,1,2,1,2. (12/6/6)
   (12,11,10,9,8,7)/(6,5,4,3,2,1)
      665280           /    720   


answer 924 combinations.

Have i done it right.  If yes bloody hell, that many
Title: Re: permutations
Post by: Turner on Oct 11, 01:27 PM 2014
Quote from: nottophammer on Oct 11, 10:31 AM 2014
Hi Turner
if we have 1,2,1,2,1,2,1,2,1,2,1,2. (12/6/6)
   (12,11,10,9,8,7)/(6,5,4,3,2,1)
      665280           /    720   


answer 924 combinations.

Have i done it right.  If yes bloody hell, that many
Correct  :thumbsup:
You'll find ! function on a scientific calculator
Sometimes ! Other times x!