1 problem found
I have two dice whose faces are all painted different colours. I number the faces of one of them \(1,2,2,3,3,6\) and the other \(1,3,3,4,5,6.\) I can now throw a total of 3 in two different ways using the two number \(2\)'s on the first die once each. Show that there are seven different ways of throwing a total of 6. I now renumber the dice (again only using integers in the range 1 to 6) with the results shown in the following table \noindent
| Total shown by the two dice | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| Different ways of obtaining the total | 0 | 2 | 1 | 1 | 4 | 3 | 8 | 6 | 5 | 6 | 0 |