Need some help with this.... Very confused...
I have a card with a value of 5 and 5 cards with a value of 10. I wish to trade my cardswith a guy for a complete set (1 to 10). However, he has some rules.
- you give him 2 cards and ask for 3 which add up to the same value as your 2 (eg. you give him 8 and 6 and ask for 7, a 4 and a 3 or two 5's and a 4.)
- you cannot ask for a card with a higher value than the best one you gave him (eg. he won't trade your two 9's for a 10,6 and 2)
- He never does a two for one swap (eg. if you give him a 9, he won't give you a 7 and a 2 - this is not gonna happen)
- You can't sacm him either, by trying to give him a 9 and a 6 for a 7, a 6 and a 2.
Somehow, I managed to get acomplete set thorugh trading alone.
a) Explain why I could not have done this if i had only four 10's, a 9 and a 5 to start with.
b) How many times did I trade with the guy (with five 10's and a 5) to get my complete set?
c) Show how I might have completetd my set (write down the different steps)
d) Another person who wishes to trade has two 10's, three 9's and an 8. Show how he could have completed his set.(write down the different steps)
Hope someone can help.....