Two people play the following game: there are 40 cards numbered from 1 to 10 with 4 different signs. At the beginning they are given 20 cards each. Each turn one player either puts a card on the table or removes some cards from the table, whose sum is 15. At the end of the game, one player has a 5 and a 3 in his hand, on the table there's a 9, the other player has a card in his hand. What is it's value? combinatorics proposedcombinatorics