Question 51
Can the numbers $0,1,2,\ldots,9$ be arranged on a circle so that the sum of any three successive numbers is at most
(a) $13$, (b) $14$, (c) $15$?

Ten blank slots on a circle; no arrangement is prescribed.
(a) $13$, (b) $14$, (c) $15$?

Ten blank slots on a circle; no arrangement is prescribed.