Permutation Formula

Permutation Formula

-Permutations taken all at a time

-Permutations taken r at time

-Distinguishable Permutations

-Circular Permutations

Permutations taken all at a time is

P(n,n) = n!

Factorial Notation

 If n is a positive integer, n! is a product of all positive integers less than n or equal to n.

 

We also define 0! = 1

Multiple Choice

What is the value of 6!

• 6

• 360

• 720

• 21

Multiple Choice

Simplify this

• 6

• 30

• 1/5

• 1/6

Multiple Choice

How many ways ways can you arrange the letters in the word MATH?

• 15

• 4

• 24

• 12

Multiple Choice

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

• 3

• 6

• 1

• 12

P(n,r) is the number of permutations of n objects taken r at a time

There are 5 sweet delicacies that your mother prepared for fiesta and these were: Ubeng Halaya, Buko Salad, Sweetened Macapuno, Leche Plan and Buko Pandan. If you are supposed to help your mother in preparing the dishes to be served to your visitors.

In how many possible ways can you arrange the 5 delicacies if three sweet delicacies are served at a time ?

P = 5x4x3

P = 6

Let’s say you and 29 other people are in the running for 3 distinct prizes. 

The number of ways 30 people can take first, second, and third prize is called a permutation. In a permutation, the order in which the items or people are arranged “matters”. 

Multiple Choice

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

• 64

• 56

• 8

• 16

Multiple Choice

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

• 360

Multiple Choice

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Distinguishable Permutations

Multiple Choice

How many different letter arrangement can be formed by using all the letters of the word "SCHOOL"

• 120

• 360

• 720

• 540

Multiple Choice

How many distinct permutations can be formed using the letters of the word TENNESSEE?

• 3780

• 362,880

• 9

• 3800

CIRCULAR PERMUTATIONS

Multiple Choice

Your mother made pickles, tilbok, leche flan, ube jam, sapin-sapin and graham. You are to arrange the side dishes and desserts in a round table. Find the circular permutation that you can make.

• 6

• 24

• 720

• 120

Multiple Choice

Find the number of different ways that a family of 9 can be seated around a circular table with 9 chairs.

• 5 040

• 40 320

• 362 880

• 3 628 880

Poll

How well do I understand?

• I don't understand this yet.

• I need more practice.

• I understand and can do this by myself.