Four different integers from 1 to 10 are chosen. Sam is given the sum and Pat is given the product. Sam and Pat take turns stating how many of the four numbers they can deduce:

Sam: I don't know any
Pat: I know one
Sam: I now know two
Pat: I now know all four

What could the four numbers be?

Tip: A spreadsheet is very useful in solving this problem.

Hi, The solution for the problem is here. Iam giving only the possible answers. I ma not giving any explanation as there is nothing. You should actually take the odds out and try.
There are two answers for the above question.
1. no's : 2 8 9 10
sum : 29
product : 1440
2. no's : 4 6 9 10
sum : 29
product : 2160

Posted by Ravi on 2006-03-20 06:03:31