9.6 Permutations

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

• 3
• 9
• 6
• 12

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

How many ways can you arrange a seating chart for a class of 12 students?

• 11,424,400

• 10,967,424

• 9000

• 479,001,600

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Solve: P(6,2)

• 30

• 300

• 12

• 3

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23
• 840
• 42
• 3,628,800

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

• 18

• 120

• 36

• 18

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

• 60,480

• 10,000,000

• 604,800

• 100

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

• Yes
• No