Probability and Combinations

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

• 15
• 40
• 80
• 10

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

How many distinct ways can the letters in the word BRAND be arranged?

• 120
• 24
• 5
• 20

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

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

Find the possibilities when selecting the batting order for six players on a 10 person team.

• 3,628,800
• 151,200
• 210
• 720

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 1.3 x 10¹²
• 120
• 3003
• 360,360

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

• Permutation
• Combination
• Neither

Picking a team of three people out of a group of 10.

• Permutation
• Combination
• Neither

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

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

• Combination
• Permutation