Help with Maths Question? Urgent!

Posted on 2016-04-06 19:00:00 in Math by DAVID LEE

Two empty buckets are placed on a balance beam, one at each end. Balls of the same weight are placed in the buckets one at a time. If the number of balls is the same in each bucket, the beam stays horizontal. If there is a difference of only one ball between the buckets, the beam moves a little but the buckets and balls remain in place. However, if the difference between the number of balls is two or more, the beam tips all the way, the buckets fall off, and the balls fall out. 

There are several bowls, each containing some of the balls and each labelled L or R. If a ball is taken from a bowl labelled L, the ball is placed in the left bucket on the beam. If a ball is taken from a bowl labelled R, the ball is placed in the right bucket. 

a) Julie arranges six labelled bowls in a row. She takes a ball from each bowl in turn from left to right, and places it in the appropriate bucket. List all sequences of six bowls which do not result in the beam tipping.

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