Question

4. Adam and Ben play a game. They pick 6 numbers in turn from 1,2,3,4,5,6,7,8,9. If a number is picked, it cannot be picked again. If the resulting 6 digit number is a multiple of 3, then Ben wins; otherwise Adam wins. For example, if the 6 digit number is 123456, then Ben wins; if it is 123458, Adam wins. Determine who has a winning strategy and what it is. (Adona ces ам

Answer 1

We know that The number is divisible by 3 (or) It is a multiple of 3 If sum of all the numbers in digit is a multiple of 3 So, Here Ben have a winning strategy because as given that Ben will go after Adam so, what Ben would do is that he will choose a number that will make the sum of digits a multiple of 3 For suppose Adane chooses 4 then Ben would choose 2 or 5 or 8, In this way doing this again till the last number Ben will make the number of multiple of 3 \r\n and hence he will win