Combination Week 2

Combination Week 2

Learning Competency:

Illustrates the combination of objects 

Differentiates permutation from combination of objects taken at a time 

I need to put the harvested Sitaw, Lagkitang Mais, Saging Matsing and Macapuno in a basket.

However, the basket can only carry 3 kinds of these. How many ways can I select 3 kinds out of these 4 farm products ?

Solution :

Sitaw - Lagkitang Mais - Saging Matsing

Sitaw- Lagkitang Mais - Macapuno

Sitaw - Saging Matsing - Macapuno

Lagkitang Mais- Saging Matsing – Macapuno

From the illustration, you notice that the number of ways is 4 and the order of the arrangement is not important. That is the concept of COMBINATION.

A group of  cultural mappers want to visit the 3 ancestral houses in San Pablo City, the Fule Malvar Mansion, the Conducto Mansion and the Prudencia Fule Ancestral House,  as part of their project about Local Cultural Heritage Mapping.

Each of them will only visit 2 ancestral houses for a day. How many ways can a mapper select 2 out of the three ancestral houses?

Solution :

 By illustration using the pictures of the three ancestral houses you can be able to determine the number of ways of selections that can be made by Mappers.

Since the order is not important therefore , there are 3 possible ways that a mapper can select 2 ancestral houses . These illustration is what we called COMBINATION

Multiple Choice

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 4 students in a class committee

• Choose the chairperson, secretary and treasurer in a club

Multiple Choice

Permutation, combination, or neither?

You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination

• permutation

• neither

Multiple Choice

Permutation, combination, or neither?

A team of 8 basketball players need to choose a co-captain and captain.

• combination

• permutation

• neither

Multiple Choice

Permutation, combination, or neither?

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither

Multiple Choice

Permutation, combination, or neither?

The batting order for seven players on a 12 person team.

• combination

• permutation

• neither

Multiple Choice

Permutation, combination, or neither?

Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

• combination

• permutation

• neither

Multiple Choice

How would you solve?

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

• Permutation

• Combination

• Factorial

Multiple Choice

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation

• Combination

• Neither

Multiple Choice

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Combination

• Factorial

• MPC

 Identify whether each given statement is permutation or combination

Multiple Choice

Selecting 5 members to form a group.

• Permuation

• Combination

Multiple Choice

5 friends taking a picture in a row at Doña Leonila Park.

• Permuation

• Combination

Multiple Choice

Arranging 6 pots of Sunflower bought from San Flower Farm in San Ignacio.

• Permuation

• Combination

Multiple Choice

Making a sagobe by selecting different Lamang Lupa.

• Permuation

• Combination

Poll

How well do I understand?

• I don't understand this yet.

• I need more practice.

• I understand and can do this by myself.