Question

Use the set 0, 1, 2, 3 to create three digits numbers, determine the number for which:

(1) Even (How many even numbers are there?)

(2) Less than 300

(3) Greater than 300

Answer 1

atven tha dugi'ts 0,1,2,3 we ara for thoree cuoit ven numbors the ene' digi may be The ten' dgit may be o,l,23 (1 bisibitis) Tne hundredo digit may be 1,2,3 (3 possibilitien) o or 2 2 bo^sibi liH^^ Hanca totul numbar of pu ibitiHieo = 2x 4x 3 a 4 fur a number les than 30o 2pasibilie ten ' dugib may be o, l,2,3 (4 pibilltes) Onsdigit may be 0,1123 raibilities) Hanc total numbu d humherrs frr numberb juatin than 3uo (3 be digit tundauds ten's digit ray be O,lji,3 ( 4o»ibitieni On 's aigit may be,1,2,3 (4 pesihities) Total numbo nurnb = lX4 K4-

at ten ana Cemes them when poztition , the numhen uwile be 3a shoulol he omi'Had which enc total numbor of numbers 16 3