Page 371 - Srednje skole - radovi

KO SE IGRA, TAJ I DOBIJA.
Autor: Mihailo Veselinović I Elektrotehniĉka škola „Nikola Tesla“ Beograd
9
Mentor: Violeta Komnenović Profesor u Elektrothniĉkoj školi „Nikola Tesla“ Beograd
Rezime

Ko se igra, taj i dobija, zar ne!
Naš svakodnevni ţivot ĉine razliĉite vrste kombinacija. Od kombinacija odeće koju ćemo obući

pa sve do kombinacija na kojima moţemo da zaradimo velike svote novca. Ĉak je i sve ovo što

je do sada napisano uredna kombinacija slova, reĉi i reĉenica.
Kombinatorika je oblast matematike koja nam omogućava da sve te kombinacije razumemo i

upotrebimo u razne svrhe. Kombinatorika se bavi prouĉavanjem konaĉnih objekata, na koliko
naĉina oni mogu da se rasporede (po odreĊenim pravilima, naravno) i govori nam koji su sve to

naĉini i koje su njihove osobine.
Kombinatorika je ,naravno, kao i svaka druga oblast matematike tesno povezana sa drugim

oblastima. Njena povezanost sa binomnim koeficijentom a preko njega i sa paskalovim trouglom

je ĉini ne samo zanimljivom već i veoma korisnom granom matematike.
Videćemo šta je to faktoijel, šta je binomni koeficijent, šta je paskalov trougao i najvaţnije šta je

to kombinatorika i koje su njene primene.
Kljuĉne reĉi:

Kombinatorika, kombinacije, binom, faktorijel, binomni koeficijent, Paskalov trougao.

Summary

Who plays, it gains, isn't it!

Our daily life is a different type of combination. From a combination of clothes which we are
wearing and all to a combination on which we can profit large sums of money. Even all that is

written so far represents neat combination of letters, words and sentences.
Combinatorics is the area of Mathematics which allows us to understand all of these combination

and use them in various purposes. Combinatorics is the study of finite objects, how many ways

they can be reassigned (according to certain rules, of course) and tells us which ways are there,
and what are their feautures.

Combinatorics is ,of course, as well as any other mathematical area closely linked to other areas.
It links with binomic coefficient ,and through him with Pascal's triangle making it not only

interesting but also a very useful mathematical sector.
We will see what is factoial, what is the binomical coefficient, what is the Pascal's triangle and

most importantly what is combinatorics and what is its use.

Key words:
Combinatorics, combination, binom, factorial, binomial coefficient, Pascal’s triangle