Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After seven rounds of this activity, what is the maximum amount of money that any one man could receive? Choices
A) $4 B) $5 C) $10 D) $15 E) $64
The Optimized scenario   After 1st Round - $1. Let nobody touches the amount will double in next round.   After 2nd Round - $2. Let nobody touches the amount will double in next round.   After 3rd Round - $4. Let nobody touches the amount will double in next round.   After 4th Round - $8. Let nobody touchesthe amount will double in next round.   After 5th Round - $16. Let nobody touches the amount will double in next round.   After 6th Round - $32. Let Man A touches it and get$32   After 7th Round - $32. Let the same Man A touches it and get another$32.   So, after 7th round, the maximum amount a man receives is $64.   Answer ($64)
<result>E</result>
Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After seven rounds of this activity, what is the maximum amount of money that any one man could receive?