If you just had two shapes (say, a circle and a square), how many 3-place patterns could you make?

Computers use the binary number system to represent the numeric values. We communicated with a binary system and found that developing a number systems is little different. Because a number system is infinite and it also has rules for counting or how to get from one value to the text.

If there are two shapes like circle and square, the 3-place patterns that could make will be 8 patterns. The circles will make 3 patterns and the square will have 6 patterns.

You have 8 possible combinations of 3-place patterns with 2 shapes that consist of:

circle - circle - circle
circle - circle - square
circle - square- circle
circle - square- square
square- circle - circle
square- circle - circle
square- square- circle
square- square- square

Whereas we can creates 27 different 3-place patterns out of circles, triangles and squares (three shapes), and we can tried to define a system of rules to generate all of the patterns.

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Answer details

Grade: 9

Subject: mathematics

Chapter: shapes

Keywords: 3-place patterns, shapes, circle, square, place

MrRoyal MrRoyal · Answer 2 · 2021-09-21T18:07:10+02:00

The number of patterns that can be made is an illustration of permutations and combinations.

The number of 3-place patterns that could be made is 8.

Given

[tex]n = 2[/tex] -- the shapes

[tex]r = 3[/tex] --- the pattern

The number (N) of pattern that can be made is calculated as follows:

[tex]N = n^r[/tex]

So, we have:

[tex]N = 2^3[/tex]

Evaluate the exponent

[tex]N = 8[/tex]

Hence, the number of 3-place patterns that could be made is 8.

Read more about permutations and combinations at:

https://brainly.com/question/15301090