You have 10 boxes and 44 marbles. Is it possible to put all of your marbles in the boxes in such a way that each box contains a different number of marbles?
2 answers
No, in order to have a different number of marbles in each of the boxes you would need at least 55 marbles.
no
try with the smallest possible sum
1+2+3+4 ..
1+2+...+8+9 = 45
adding up the marbles in the first 9 boxes is 45, so we don't even have enough marbles to use the smallest numbers possible
try with the smallest possible sum
1+2+3+4 ..
1+2+...+8+9 = 45
adding up the marbles in the first 9 boxes is 45, so we don't even have enough marbles to use the smallest numbers possible