Posted by Martha on Sunday, February 6, 2011 at 11:27pm.
You have 48 yellow blocks and 40 green blocks. What is the greatest number of identical towers that you can build using all 88 blocks?

Math  MathMate, Sunday, February 6, 2011 at 11:49pm
For a particular tower built, all 48 yellow blocks can be rearranged in 48! ways, and similarly, the 40 green blocks can be arranged in 40! different ways.
So the number of identical towers that can be built is 48!*40! This is approximately equal to 1.0*10^19.
However, if the number of different towers is required, the number is 88! if all blocks are of different colours. Since we have found 48!*40! identical towers for each tower that we build, so there are 88!/(40!48!) different towers using the above 88 blocks. This evaluates to "only" 18312575054317505569702710 different towers, or 1.8*10^25 different towers.

Math  Shaniqua, Sunday, March 24, 2013 at 5:54am
You can just build as many identical towers as you're little heart can handle, and don't you let nobody tell you otherwise honey.
Answer This Question
Related Questions
 math  Maggie has a box of 300 colored blocks.The box has a equal number of ...
 Math  Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, ...
 Math  Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, ...
 Math  Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, ...
 math  manfred mouse fell inside a box of toy blocks. to escape, he needs to ...
 Pittsburgh public school  There are a total of 10 blocks in the blocks. Bassein...
 Math  There are 18 green blocks in a bag THere are 3 white blocks for every 2 ...
 Math  Doug created a pattern of towers. Tower 1 was created using 5 blocks. ...
 Math  Their are 18 green blocks in a bag.their are 3 white blocks for every ...
 math  christi rides her bicycle 7 blocks south. 3 blocks east, 5 blocks north, ...
More Related Questions