King Dashratha of Ayodhya on his birthday decided to offer 100 coins of gold among his 4 sons and 3 wives. The denomiantion of each coin is Rs. 1 . He put all the 100 coins in 7 bags in such a way that by taking a proper combination of various bags any integral sum (i.e. Rs. 1,2,3,4,...100) can be obtained and it is known that the only whole sum of any bag can be taken . In the previous problem(number 12), if the people who had botained the coins equal to odd powers of 2 (i.e. 2^1 , 2^3, 2^5,... etc) can not combine their money with any any other . The maximum how many different sums can be made ?

King Dashratha of Ayodhya on his birthday decided to offer 100 coins o

1.	King Dashratha of Ayodhya on his birthday decided to offer 100 coins of gold among his 4 sons and 3 wives. The denomiantion of each coin is Rs. 1 . He put all the 100 coins in 7 bags in such a way that by taking a proper combination of various bags any integral sum (i.e. Rs. 1,2,3,4,...100) can be obtained and it is known that the only whole sum of any bag can be taken . In the previous problem(number 12), if the people who had botained the coins equal to odd powers of 2 (i.e. 2^1 , 2^3, 2^5,... etc) can not combine their money with any any other . The maximum how many different sums can be made ?
Answer» 51 28 31 158 Answer :C