How many ways can 25 pieces of varying shapes fit in a square space?

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Homework Help Overview

The problem involves determining the number of ways to arrange 25 pieces of varying shapes within a square space. The pieces consist of 6 different shapes, and the arrangement must fit within the constraints of the given area.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of knowing the quantity of each shape and whether the shapes can be placed anywhere within the space. There is also a focus on clarifying the original poster's statements regarding the problem.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem's parameters. Some guidance has been provided regarding the need for specific information about the shapes and their placement.

Contextual Notes

Participants note that the shapes include medium squares, large squares, small squares, long narrow rectangles, medium rectangles, and short narrow rectangles, but the implications of these quantities on the arrangement are still under exploration.

paulleonday
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I have a total of 25 pieces in 6 different shapes to fit in a given space. How many combinations can the pieces be put together to fit in the same given space?
 
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Homework Statement

I have 25 items total in 6 different shapes that all fit into a a given space. How many combinations can the 25 items fit into the same size space?

Homework Equations



Not sure

The Attempt at a Solution



Not sure
 
Last edited by a moderator:
You'd need to know how many of each of the 6 possible shapes there are, and if any of the shapes can go anywhere.
 
'Not sure' is right. I'm not even sure that's grammatical. Can you state that more clearly?
 
Yes, they can be placed anywhere within the space. (square shaped space) There are 7 medium sized squares, 3 large squares, 5 small squares, 2 long narrow rectangles, 4 medium rectangles and 4 short narrow rectangles.
 

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