3. Zadatak

Kako je $24=2\cdot2\cdot2\cdot3$, odgovarajuće četvorke znamenaka su:

a) $2,2,2,3$, b) $1,2,3,4$, c) $1,2,2,6$, d) $1,1,3,8$, e) $1,1,4,6$.

Traženi brojevi su:

a) $2223,2232,2322,3222$,

b) $1234,1243,1324,1342,1423,1432,2134,2143,2314,2341,2413,2431,3124,3142,3214,3241,3412,3421,4123,4132,4213,4231,4312,4321$,

c) $1226,1262,1622,2126,2162,2216,2261,2612,2621,6122,6212,6221$,

d) $1138,1183,1318,1381,1813,1831,3118,3181,3811,8113,8131,8311$,

e) $1146,1164,1416,1461,1614,1641,4116,4161,4611,6114,6141,6411$.

Brojeva s traženim svojstvima ima $64$.