Permutations and Combinations

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

• 30
• 140
• 320
• 45

Tags

CCSS.HSS.CP.B.9

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Tags

CCSS.HSS.CP.B.9

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

• Combination
• Permutation

Tags

CCSS.HSS.CP.B.9

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 11,424,400
• 10,967,424
• 9000
• 90,000

Tags

CCSS.HSS.CP.B.9

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

• 12,650
• 303,600
• 100
• 254

Tags

CCSS.HSS.CP.B.9