(A) How Many Functions Are There from a Set with Three

question 11

Short Answer

(a) How many functions are there from a set with three elements to a set with eight elements? (b) How many one-to-one functions are there from a set with three elements to a set with eight elements? (c) How many onto functions are there from a set with three elements to a set with eight elements?

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Definitions:

Squared Values

The result of multiplying a number by itself, symbolizing the power of 2.

Scatterplot

A type of graph used in statistics to visually display and compare two variables for a set of data.

Variables Correlated

When variables are correlated, it means there is a statistical relationship showing that changes in one variable are associated with changes in another.

Negative Correlation

A relationship between two variables in which one variable increases as the other decreases, indicating an inverse relationship.