7
How many different ways can you arrange the letters in “may”?

How many different ways can you arrange the letters in “may”?

  • Upload
    wilbur

  • View
    24

  • Download
    0

Embed Size (px)

DESCRIPTION

Bell Work. How many different ways can you arrange the letters in “may”?. Permutations. A permutation is a selection of a group of objects in which order is important. In our introductory example, we have 6 permutations. Video on Permutations. Permutations - Free Math Video by Brightstorm. - PowerPoint PPT Presentation

Citation preview

Page 1: How many different ways can you arrange the letters in “may”?

How many different ways can you arrange the letters in “may”?

Page 2: How many different ways can you arrange the letters in “may”?

A permutation is a selection of a group of objects in which order is important.

In our introductory example, we have 6 permutations.

MAY AMY YMAMYA AYM YAM

Permutations - Free Math Video by Brightstorm

http://brightstorm.com/math/algebra-2/combinatorics/permutations/

Video on Permutations

Page 3: How many different ways can you arrange the letters in “may”?

!

!n r

nP

n r

n is the number of itemsr is the amount of items taken at a time

In our introductory example, n is equal to 3 and r is equal to 3.

3 3

3! 66

3 3 ! 1P

How would you use the “line method” to solve this problem?

Page 4: How many different ways can you arrange the letters in “may”?

Suppose that you want to select a president, vice president, and treasurer for this class. How many different ways can you select these class officers? (Note that there are 23 students in this class.)

Page 5: How many different ways can you arrange the letters in “may”?

In every Indian’s game, there are 9 hitters. How many different ways can the 9 hitters be arranged?

Page 6: How many different ways can you arrange the letters in “may”?

How many different ways can you rearrange the letters in “math”?

Page 7: How many different ways can you arrange the letters in “may”?

An ATM code consists of 4 single digits. •How many possible combinations exist if no number can be repeated?•How many possible combinations exist if the numbers can be repeated?