1. Zadatak

Broj $5$ može se prikazati kao zbroj $4$ prirodna broja na $6$ načina:

a) $5=5+0+0+0$, b) $5=4+1+0+0$, c) $5=3+2+0+0$, d) $5=3+1+1+0$, e) $5=2+2+1+0$, f) $5=2+1+1+1$.

Ako uvažimo redoslijed pribrojnika, onda su to brojevi:

a) $5000$,

b) $4100$, $4010$, $4001$, $1400$, $1040$, $1004$,

c) $3200$, $3020$, $3002$, $2300$, $2030$, $2003$,

d) $3110$, $3101$, $3011$, $1310$, $1301$, $1130$, $1103$, $1031$, $1013$,

e) $2210$, $2201$, $2120$, $2102$, $2021$, $2012$, $1220$, $1202$, $1022$,

f) $2111$, $1211$, $1121$, $1112$.

Traženih brojeva ima $35$.