i need help with solving tihs problem. i'm not really sure how to prove it. several people started with $300 each, and played a game with the following strange rules. each player pays $10 to the house at the beginning of each round. during each round, one active player is declared the loser, and he distributes all of his money in equal amounts to the remaining players. the loser must then leave, but all of the other players go on to the next round. the game is over when only one player remains. at the end of the game, the surviving olayer was surprised to discover that he had exactly $300, equaling his starting amount. how many players were there at the beginning?