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Finding all n-partitions of a set

• To: mathgroup at smc.vnet.net
• Subject: [mg98707] Finding all n-partitions of a set
• From: "Joe.Mapasapam" <mapasapam at gmail.com>
• Date: Thu, 16 Apr 2009 04:18:52 -0400 (EDT)

Please how can I find all n-partions of a set ?


Say, i want partitions of the set (no order) {a,a,b,b} into 2,

so we have 
{
{{a,a,b,},{b}},
{{a,b,b},{a}},
{{a,a},{b,b}},
{{a,b},{a,b}}
}

is there already a built in function in mathematica ?

i need so n can be any number

• Follow-Ups:
  • Re: Finding all n-partitions of a set
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Finding all n-partitions of a set
    • From: Leonid Shifrin <lshifr@gmail.com>
  • Re: Finding all n-partitions of a set
    • From: Adriano Pascoletti <adriano.pascoletti@dimi.uniud.it>
  • Re: Finding all n-partitions of a set
    • From: Adriano Pascoletti <adriano.pascoletti@dimi.uniud.it>