# Maybe a probability question

• paulleonday
In summary, you are given 25 items in 6 different shapes to fit into a square shaped space. The shapes can be placed anywhere within the space and there are 7 medium sized squares, 3 large squares, 5 small squares, 2 long narrow rectangles, 4 medium rectangles, and 4 short narrow rectangles. You are asked to determine how many combinations can be made with these items to fit into the given space.

#### paulleonday

Need help

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?

## 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?

Not sure

## The Attempt at a Solution

Not sure

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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.

## What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

## How is probability calculated?

Probability is calculated by dividing the number of desired outcomes by the total number of possible outcomes. This can be expressed as a fraction, decimal, or percentage.

## What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. Experimental probability is based on the results of actual experiments or real-life events.

## What are independent and dependent events?

Independent events are events that have no effect on each other. The outcome of one event does not influence the outcome of the other. Dependent events, on the other hand, are events where the outcome of one event does affect the outcome of the other.

## How can probability be used in real life?

Probability can be used in many areas of life, such as predicting weather patterns, making financial decisions, and conducting scientific experiments. It can also be used to make informed decisions and assess risks in everyday situations.