Showing posts with label Combinations. Show all posts
Showing posts with label Combinations. Show all posts

Information Processing: Listing All Possible Ways | 3rd Maths Term 1 Unit 6

3rd Maths : Term 1 Unit 6 : Information Processing

Listing down all possible ways

Information Processing Chapter Header

Example 1: Trousers and Shirts

Kavin has taken 2 trousers and 3 shirts with him to wear in a picnic. list down all the possible choices that he can wear them.

Two trousers and three shirts

Here are the choices.

Possible combinations of shirts and trousers

There are two possible ways of dressing using one shirt and two trousers as shown in picture 1. Similarly we shall pair remaining two shirts with the trouser in four ways as shown in picture 2 and picture 3.

Hence there are six possible ways of pairing two trouser with three shirts.

Example 2: Fruits and Vegetables

Kaviya likes to eat one vegetable and one fruit in a day. Apples and oranges are her choices among fruits and carrots and cucumbers are her choices among vegetables. Complete the given table by filling the ways she combine one fruit with one vegetable.

Table of fruit and vegetable combinations

Example 3: Three-Digit Numbers

List down all possible ways of forming three digit numbers by using the digits 4, 5 and 7 once.

Possible ways

Possible ways to form numbers with 4, 5, 7

Practice

1. List down all possible ways of forming three digit numbers by using the given digits only once.

a. 9, 6, 8

b. 3, 2, 0

c. 1, 5, 4

Possible ways

a. 986 968 698 689 896 869

b. 320 302 230 203 032 023

c. 154 145 415 451 541 514

2. Find all possible ways of combining the three letters a, e, t using each of them once.

Possible ways

Possible ways to combine letters a, e, t

Activity 1

Let us colour the blocks.

Find all possible ways of colouring the given blocks with blue and red. One is done for you.

Colouring blocks with blue and red

Activity 2

Fill the white space in the given blocks with alternate colours and answer the following questions based on it.

Blocks with alternate colours

1. Total number of blocks: 2

2. Number of rose block: 4

3. Number of block icon blocks: 6

4. Number of block icon blocks in 2 and 4 row: 1 & 2

5. How many block icon more than block icon: 2

Example 4: Words Starting with 'R'

List all possible 3 lettered words 4 lettered words and 5 lettered words that start with alphabet ‘R’.

List of words starting with R

Look at the above words and answer the questions.

1. Number of 4 lettered words are ___.

2. Number of words with 5 letters are ___.

3. There are ____ 3 lettered words.

4. There are ____ 5 lettered words.

List Down All Possible Words

List down all possible meaningful 3 lettered and 4 lettered words starting with the alphabet ‘A’.

Activity 3

List the names of the animals with 4 letters.

Deer, goat, lamb and lion

2nd Standard Maths Term 1 | Unit 6: Information Processing & Systematic Listing

2nd Maths: Term 1 Unit 6

Information Processing

Learning Outcomes for Information Processing

Systematic listing

Travel Through

Arun wants to reach the school from his house. One way is shown for you. List down all the other possible ways.

A map showing paths from a house to a school, passing a temple and a market.

Key words: Systematic list, Pair, Way

Teacher’s Note: Teacher may explain one way shown in the picture and let the children discuss about other possible ways.

Learn

Possible ways of pairing

Let us learn the number of ways of dressing oneself with two shirts and two shorts.

Four possible combinations of two shirts (red, green) and two shorts (blue, yellow).

There are four ways to wear the dress.

Teacher’s Note: Teacher can use things like pen and cap, bottle and lid,etc., available in the classroom to show different ways of pairing.

Practice

Find all possible ways of arranging a pair of cups among the four cups.

Four cups of different colors: red, blue, green, yellow.

One way is shown. Find all the other possible ways.

Illustration of the 6 possible pairs of cups.

12 ways

Try This

A gift box.

* Sathya has a pencil, a blue pen and a black Pen.

* She likes to gift two out of these three things to her friend.

* Find all the possible ways to place them in the gift box.

Show Possible Ways

There are 3 possible ways to choose two items:

(i) Pencil and Blue Pen

(ii) Pencil and Black Pen

(iii) Blue Pen and Black Pen

2nd Standard Maths Term 1 | Unit 6: Systematic Listing

2nd Maths: Term 1 Unit 6

Information Processing

Learning Outcomes for Information Processing

Systematic listing

Travel Through

Arun wants to reach the school from his house. One way is shown for you. List down all the other possible ways.

A map showing paths from a house to a school, passing a temple and a market.

Key words: Systematic list, Pair, Way

Teacher’s Note: Teacher may explain one way shown in the picture and let the children discuss about other possible ways.

Learn

Possible ways of pairing

Let us learn the number of ways of dressing oneself with two shirts and two shorts.

Four possible combinations of two shirts (red, green) and two shorts (blue, yellow).

There are four ways to wear the dress.

Teacher’s Note: Teacher can use things like pen and cap, bottle and lid,etc., available in the classroom to show different ways of pairing.

Practice

Find all possible ways of arranging a pair of cups among the four cups.

Four cups of different colors: red, blue, green, yellow.

One way is shown. Find all the other possible ways.

Illustration of the 6 possible pairs of cups.

12 ways

Try This

A gift box.

* Sathya has a pencil, a blue pen and a black Pen.

* She likes to gift two out of these three things to her friend.

* Find all the possible ways to place them in the gift box.

Show Possible Ways

There are 3 possible ways to choose two items:

(i) Pencil and Blue Pen

(ii) Pencil and Black Pen

(iii) Blue Pen and Black Pen

2nd Standard Maths Term 1 | Unit 6: Systematic Listing

2nd Maths: Term 1 Unit 6

Information Processing

Learning Outcomes for Information Processing

Systematic listing

Travel Through

Arun wants to reach the school from his house. One way is shown for you. List down all the other possible ways.

A map showing paths from a house to a school, passing a temple and a market.

Key words: Systematic list, Pair, Way

Teacher’s Note: Teacher may explain one way shown in the picture and let the children discuss about other possible ways.

Learn

Possible ways of pairing

Let us learn the number of ways of dressing oneself with two shirts and two shorts.

Four possible combinations of two shirts (red, green) and two shorts (blue, yellow).

There are four ways to wear the dress.

Teacher’s Note: Teacher can use things like pen and cap, bottle and lid,etc., available in the classroom to show different ways of pairing.

Practice

Find all possible ways of arranging a pair of cups among the four cups.

Four cups of different colors: red, blue, green, yellow.

One way is shown. Find all the other possible ways.

Illustration of the 6 possible pairs of cups.

12 ways

Try This

A gift box.

* Sathya has a pencil, a blue pen and a black Pen.

* She likes to gift two out of these three things to her friend.

* Find all the possible ways to place them in the gift box.

Show Possible Ways

There are 3 possible ways to choose two items:

(i) Pencil and Blue Pen

(ii) Pencil and Black Pen

(iii) Blue Pen and Black Pen