The dwarfs in the forest have built ten houses and created several
paths between them. Each path connects two houses, and the paths may cross.
Is it possible that the numbers of paths leaving the houses are respectively:
(A) \(2, 2, 2, 2, 2, 3, 3, 3, 3, 7\) paths;
(B) \(2, 2, 2, 2, 4, 4, 4, 4, 4, 4\) paths?
Rūķīši mežā ir uzbūvējuši desmit mājiņas un starp tām izveidojuši
vairākas taciņas. Katra taciņa savieno divas mājiņas, taciņas var
krustoties. Vai iespējams, ka no mājiņām iziet attiecīgi:
(A) \(2, 2, 2, 2, 2, 3, 3, 3, 3, 7\) taciņas; (B) \(2, 2, 2, 2, 4, 4, 4, 4, 4, 4\) taciņas?