F A Y S 9
Fays 9s was a challenging task that we had to work out 180 different solution for. there were 3 columns and 3 rows. The columns had to add up to nine but you could only use the numbers 1 through to 9. When I started the problem I realised that the 1st column had to add up to 19 the 2nd 8 and third 9 or it doesn’t work. When I 1st started the fays 9s problem I was not sure were to start, So I just started to work out all of the possible answers I could think of to see if there were any patterns I could use to find more. then we found all the possible solutions for 19 and 18 there were 28 but only 5 different solutions. The things that I noticed were for 19 there were only, 5 solutions but for 18 there were 6. We also worked out that for each combination that adds up to 19 there were 36 solutions. I also found that the ones column has to add up to 19 the tens had to add up to 8 and the hundreds 9 because if the 1st adds up to 19 then you have to carry the 10 and leave the 9 so the next row g=has to add up to 8 + 1 and then the last one 9 because there was nothing to carry. The way that me and the people in the group broke the question into manageable parts were, out how many solutions there were for 19 and 18. For 19 there were 5 and for 18 there were 6. after this we worked out 36 had a big part to play in the solution. In the last session my group worked out the answer to this challenging question. there are five different combos that equal 19. you can swap the 10s and 100s around 6 times.
6×6=36
36×5=180
6x6x5=180
this is the answer but it would have been a lot harder if we didn’t know that there were 180 solutions. This project was very challenging because you got given that answer and you had to fill in the rest and work out the possible solutions. it was also challenging because there were so many different answers (180) and it would take to long to just make then all so you had to find a roll.