permutations

[nottophammer]

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

[nottophammer]

will there be 8 combo's

[Turner]

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

[nottophammer]

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

[Turner]

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

[nottophammer]

thanks Turner 

[nottophammer]

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

[Turner]

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 
You'll find ! function on a scientific calculator
Sometimes ! Other times x!