Question

How do we group such a variety
of objects?​

Answer 1

Answer:

In category theory, a branch of mathematics, group objects are certain generalizations of groups that are built on more complicated structures than sets. A typical example of a group object is a topological group, a group whose underlying set is a topological space such that the group operations are continuous.

Answer 2

Answer:

Grouping lets you rotate, flip, move, or resize all shapes or objects at the same time as though they were a single shape or object. You can also change the attributes of all of the shapes in a group at one time, such as adding a shape fill or effect, or an effect to a picture.

Different types of Grouping

Grouping by Number

Making groups of required numbers as illustrated like groups of 5, 10, 2, 4.

Grouping by Type

Going by the definition of grouping, similar items need to be arranged together.

In the given example the source has all the alphabets mixed up

Our task is to put ‘A’s together, ‘B’s together, and ‘C’ s together as shown in the results.

So the outcome of this exercise is that we have separate groups of A B and C.

.grouping by type

The below example illustrates the grouping of the collection of food we daily take on the basis of Grains, Dairy, Fruits + vegetables, and Protein.

So all the food items which are made of grains like bread and porridge goes into the group ‘Grains’.

Items made out of milk are put under ‘Dairy’. Banana, cauliflower, etc are in ‘Fruits and Vegetable’.

Meat and Poultry go in ‘Protein’.

One can see how the items with similar properties and composition are grouped together.

picture sort: Activity

Grouping by Division

The division is splitting into equal parts or groups.

It is the result of “ fair sharing”. In the given example there are 12 chocolates and 3 friends. All 3 should get an equal no. of chocolates. So let's start keeping chocolates in 3 separate places for 3 friends. This process is called division.

At the end of this process, we find that each friend gets 4 chocolates. So 12 divided by 3 gives us 4 or 12 when split into 3 groups has 4 number of items in each group.

grouping of cupcakes by division

Grouping by Multiplication

Multiplication is repeated addition of a group with equal items. Like in this example its repeated addition of a group with 3 apples added 3 repeated times which results in a total of 9 apples.

grouping of green apples by multiplication