Permutations of things NOT all different

Permutations of things NOT all different

Elizabeth Borres

Multiple Choice

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

• 66
• 11
• 39,916,800

Multiple Choice

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

• 40,320
• 36
• 8

Multiple Choice

How many ways can you arrange 2 letters from the word

S Q U A R E?

• 30

• 140

• 320

• 45

Multiple Choice

In how many ways can 3 different vases be arranged on a tray?
 

• 3
• 9
• 6
• 12

Multiple Choice

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Multiple Choice

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

Multiple Choice

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

• 15
• 4
• 24

Objectives:

• Go over with linear permutations, permutations of n objects taken r at a time.

• Solve circular permutations and permutation of things NOT ALL DIFFERENT.

CIRCULAR PERMUTATIONS

• The arrangement of n objects in a circular pattern is given by the formula:

• P= (n - 1)!

In how many ways can 6 persons be seated around a circular table?

• Formula: P = (n - 1)!

• P = (6 - 1)!

• P = 5!

• P = 120

• Therefore, there are 120 ways to arrange 6 persons to be seated around the table.

How many different permutations can be made from the letters of the word:

• STATISTICS

• MATHEMATICS

• PROBABILITY

Poll

Do you have any question(s)?