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BINOMNI KOEFICIJENTI

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<strong>BINOMNI</strong> <strong>KOEFICIJENTI</strong><br />

Teorem 4 (E. Sperner)<br />

Neka je S konačan skup, |S| = n, a A = {A 1,A 2,A 3, . . .} familija podskupova od S tako<br />

da nijedan član te familije ne sadrži nijedan drugi član (tj. ∀i,j A i A j). Tada je<br />

|A ≤ ( )<br />

n<br />

⌊ |. Jednakost se dostiže ako su svi podskupovi iste veličine ⌊<br />

n<br />

n ⌋.<br />

2 ⌋ 2<br />

() 21. studenog 2011. 8 / 27

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