Expert: Josh - 3/31/2010

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

Waiting for your kind Reply

Best Regards

Answer
Rashid,

Some one has already offered excellent answers to these questions.
See examples at http://en.allexperts.com/q/Calculus-2063/2010/3/Real-Analysis-1.htm

To this, I can only add that
Given a set X, GROUPING generally partitions X into smaller subsets such that the elements gathered together in each subset share some common attribute.

e.g., If X = U ^ V ^ W ^ Y = {"lion", "rose", "tiger", "fish", "lily",...} represents all living things on earth, we can
group {"lion", "tiger",...} into V (subset representing land animals)
group {"rose", "lily",...} into W (subset representing only plants)
group {"fish",...} into Y (subset representing only sea animals)
group the rest into U (subset of unclassified matters)

The set X comprises V, W, Y and Z, each subset is disjoint.

e.g., Arrangement does not add more elements to X, but simply reorders the elements according to some criteria (e.g., alphabetical order).