Find out how many different combinations 5 cubes can make on top of a 2 by 3 base.
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1) I want to find out how many different combinations 5 cubes can make on top of a 2 by 3 base Because the 5 cubes are on top of a base with 6 spaces on it there will always be one place free on the base (with out a cube on it) so this space can be moved around the base thus rearranging the cubes so creating different combinations. Because there are only 6 spaces on the base (refer to Fig1) and only one space without a cube on it, this space can only be moved to 6 different spaces (refer to fig2) so making six different arrangements. So the number of combinations that can be made is limited by the number of places the space can be moved to so as there are 6 spaces on the base, 6pplaces to put a space, 6 combinations can be made (number...


