woensdag 20 mei 2015

Week 22

Er zijn 47 manieren om met de cijfers 1, 2, 4 en 8 het getal 24 te maken.

((1·4)+8)·2 = 24
((1·8)+4)·2 = 24
(1·8)-2)·4 = 24
((1+4)-2)·8 = 24
((1-2)+4)·8 = 24
((4·1)+8)·2 = 24
((4/1)+8)·2 = 24
((4/2)+1)·8 = 24
((4+1)-2)·8 = 24
((4+8)·1)·2 = 24
((4+8)·2)·1 = 24
((4+8)·2)/1 = 24
((4+8)/1)·2 = 24
((4-2)+1)·8 = 24
((8·1)+4)·2 = 24
((8·1)-2)·4 = 24
((8/1)+4)·2 = 24
((8/1)-2)·4 = 24
((8+4)·1)·2 = 24
((8+4)·2)·1 = 24
((8+4)·2)/1 = 24
((8+4)/1)·2 = 24
((8-2)·1)·4 = 24
((8-2)·4)·1 = 24
((8-2)·4)/1 = 24
((8-2)/1)·4 = 24
(4+(1·8))·2 = 24
(4+(8·1))·2 = 24
(8-(1·2))·4 = 24
(8-(2·1))·4 = 24
(8-(2/1))·4 = 24
(8+(1·4))·2 = 24
(8+(4·1))·2 = 24
1·(2·(4+8)) = 24
1·(2·(8+4)) = 24
1·(4·(8-2)) = 24
2·(1·(4+8)) = 24
2·(1·(8+4)) = 24
2/(1/(4+8)) = 24
2/(1/(8+4)) = 24
4·(1·(8-2)) = 24
4·(8-(1·2)) = 24
4·(8-(2·1)) = 24
4·(8-(2/1)) = 24
4/(1/(8-2)) = 24
8·(1-(2-4)) = 24
8·(4-(2-1)) = 24
  • Op hoeveel manieren kan je zo met 1, 2, 4, en 8 het getal 23 maken?