Let \(A\) be the set of fruit \(mango, banana, jackfruit, passion fruit.\) Let \(B\) be the set of people \(John, Mary, David, Tendo.\) Is there a fruit for each person?
We can match the fruit to the people. \[mango \rightarrow John\] \[banana \rightarrow Mary\] \[jackfruit \rightarrow David\] \[passion fruit \rightarrow Tendo\]
Yes, there is one fruit for each person. Sets \(A\) and \(B\) are matching.
Let \(M\) be the set \(a,b,c\) and \(N\) be the set \(1,2,3,4.\) Are \(M\) and \(N\) matching? \[a \rightarrow 1\] \[b \rightarrow 2\] \[c \rightarrow 3\] \[\hspace{40px} 4\]
No, they are not matching. \(N\) has more members than \(M.\) \(M\) has less members than \(N.\)
Example: Find a set of \(8\) colors.
Think of any colors you can until you get \(8.\) Here is an example, \(red, blue, yellow, black, white, purple, green, pink.\) The set \(red, blue, yellow, black, red, black, yellow, blue\) is not an example. It only has \(4\) colors, it just lists some twice.
If you thought of the set \(blue, yellow, black, white, purple, pink, green, red,\) then you thought of the same set as the example. It is just in a different order.