MathDB

35

Part of 2002 National Olympiad First Round

Problems(1)

P35 [Combinatorics] - Turkish NMO 1st Round - 2002

Source:

8/11/2014
For each integer i=0,1,2,…i=0,1,2, \dots, there are eight balls each weighing 2i2^i grams. We may place balls as much as we desire into given nn boxes. If the total weight of balls in each box is same, what is the largest possible value of nn?
<spanclass=′latex−bold′>a)</span> 8<spanclass=′latex−bold′>b)</span> 10<spanclass=′latex−bold′>c)</span> 12<spanclass=′latex−bold′>d)</span> 15<spanclass=′latex−bold′>e)</span> 16 <span class='latex-bold'>a)</span>\ 8 \qquad<span class='latex-bold'>b)</span>\ 10 \qquad<span class='latex-bold'>c)</span>\ 12 \qquad<span class='latex-bold'>d)</span>\ 15 \qquad<span class='latex-bold'>e)</span>\ 16