View Full Version : Urgent maths questions plz help.
HOOTERS
05-05-2004, 02:54 AM
1) If I had ten possible smilies :mog: :moggie: :choc: :moomba:, and I had ten places to fill them with, what would be the total number of arrangements I could have? Would that be 10!/4! ?
2) How do I do log to the base 2 of something on the calculator?
3) What is Boltzmans constant?
Any help would be greatly appreciated. :smash:
Dr Unne
05-05-2004, 03:18 AM
1) 10!, I'd imagine, but it's been so long since I did permutations and stuff that I'm probably wrong.
2) log<sub>n</sub> x = (log<sub>10</sub> x) / (log<sub>10</sub> n).
3) http://en.wikipedia.org/wiki/Boltzmann's_constant
Endless
05-05-2004, 03:27 AM
Permutations:
n P k = n!/((n-k)!)
So 10 P 10 = 10!
10!/4! would be if you have 10 smilies and only 6 slots to fill.
That's if you can't use twice the same smilie.
HOOTERS
05-05-2004, 05:00 AM
Argh crap I should have said 4 different smilies with 10 places to fill them with (they can be used more than once). What would that be then?
Thanks for your help.
Doomgaze
05-05-2004, 05:56 AM
I think that would just be 4<sup>10</sup> = 1,048,576. You mean you have four symbols, 10 slots, right?
HOOTERS
05-05-2004, 06:01 AM
Yep that's what I meant, thanks heaps. :beer:
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