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Question
What is Grouping? What is Arrangement? What is difference between Grouping and Arrangement??
Give Examples.

Answer
Grouping is when terms are grouped together by some category.
Arrangement is when the are arranged in order.


If the set given was X  = {-15, 5, 375, -20, 45, 4, -1},
it could arranged numerically into {-20, -15, -1, 4, 5, 45, 375}.
It could be grouped into Y, the positives, and Z, the negatives.
The set Y would be {-15, -20, -1} and the set Z would be {5, 375, 45, 4}.

Something odd could be done, like alphabetizing numbers.
As in, X = {minus fifteen, five, three hundred and seventy five, minus twenty, etc. }
Note that it would start out as (five, forty five, four, minus fifteen, minus one, .... }

If the set was A = {grass, dirt, trees, pavement, bushes, rocks, houses}
it could be arranged in order as {bushes, dirt, grass, houses, pavement, rocks, trees}.

A group of naturally occuring would be {grass, dirt, trees, bushes, rocks}.
The other set would be non-natrual.

A group of living would be {bushes, grass, trees}.  The other set would be nonliving.
The group of nonliving would be {dirt, pavement, rocks, houses}.
This could further be divided into natural and man-made, as in natrul would be {dirt, rocks}
and man-made would be {pavement, houses}.

A wierd way to group these would be the numbers of letters in each word.
That is {5, 4, 5, 8, 6, 5, 6} for {grass, dirt, trees, pavement, bushes, rocks, houses}.
The arrangement would be {4, 5, 5, 5, 6, 8}. Note that grass, trees, and rocks would need
some distinguishing feature, since they all have five letters.

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