Fundamental Principle of Counting, Permutation and Combination

It is a way of finding how many possibilities can exist when combining choices, objects, or results.

• Fundamental Principle of Counting

• Systematic Listing

• Table of Values

• Tree Diagram

This counting technique involves coming up with an actual list of all possible outcomes.

• Fundamental Principle of Counting

• Systematic Listing

• Table of Values

• Tree Diagram

Another technique in counting is a picture of all possible outcomes as an event unfolds.

• Fundamental Principle of Counting

• Systematic Listing

• Table of Values

• Tree Diagram

How many different ways can a person choose 3 books from 5 available books?

• 5

• 10

• 15

• 20

How many ways can you arrange the letters of the word “APPLE”?

• 50

• 60

• 70

• 80

How many ways can you arrange Ben, Blake, Jhacer, Cres, and Prince, three at a time in a row?

How many ways can you arrange the letters of the word “BOOKKEEPER”?

How many ways can you arrange Vhinz, Matthew, Anthony, Zephaniah, Jia, Glennice, Lorraine, Gemmaeca, and Helary in around table?

How many groups of three can be formed from Brandon, Khate, Meg, Eshel, and Cindy?

There are 11 members in the P-T-A, 7 parents and 4 teachers. A sub-committee of 5 members is selected. How many ways can a sub-committee be formed?