Permutations and Combinations

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

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

• 3
• 9
• 6
• 12

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

7!

• 4050
• 5400
• 5040
• 4500

4!

• 42
• 23
• 24
• 35

Determine whether the following scenarios are a permutation or a combination:
 
Assigning students to their seats on the first day of school.

• Combination
• Permutation

Joleen is on a shopping spree.  She buys six tops, three shorts and 4 pairs of sandals.  How many different outfits consisting of a top, shorts and sandals can she create from her new purchases?

• 54
• 45
• 36
• 72

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

• Combination
• Permutation

0!

• 0
• 2
• 1
• 3

How many combinations of 4 letters are possible from the letters A B C D E?

• 4
• 5
• 6
• 69