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#1 2008-04-23 10:48:55

chetah
Member
Registered: 2008-02-15
Posts: 32

Discrete Maths

Determine the number of integer solutions of x1 + x2 + x3 = 6 where
a. xi > 0, 1 <= i <= 3
b. x1x2 >= 2 and x3 > 0
c. xi  > 2, 1 <= i <= 3

the numbers and leter I are to be substrips.

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#2 2008-04-23 13:14:30

simron
Real Member
Registered: 2006-10-07
Posts: 237

Re: Discrete Maths

So...

.
I conclude that I don't know anything about discrete maths.:P

Last edited by simron (2008-05-12 06:18:09)


Linux FTW

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#3 2008-04-23 13:49:00

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: Discrete Maths

part a.) (m-1)(m-2) / 2 ways, where m = 6, so (5)(4)/2 = 10 ways.
  (This is just like my pie sharing post in this is cool with 3 people!!)

part b.)   e.g.  (-2)+(-2)+(10)    e.g.   (-5)+(-7)+(18)
           infinite solutions if product of x1 and x2 go positive from 2 negatives.
part c.)
x1 x2 x3
no solutions because 3 + 3 + 3 > 6


igloo myrtilles fourmis

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