Combinations Probability

You are selecting two sides to go with your meal. There are 9 different sides on the menu. How many different ways can you choose your sides?

• 72

• 36

• 18

• 81

• 512

A coed soccer team is made up of 12 boys and 8 girls. How many groups of 11 players can be sent to the field if 6 boys and 5 girls are selected?

• ₂₀C₁₁ = 167,960

• ₁₂C₆ = 924

• (₁₂C₅)(₈C₆) = 22,176

• (₁₂C₆)(₈C₅) = 51,744

At a company there are 10 equally talented associates that are hoping to be promoted to 3 equal manager positions. How many different possible combinations of associates may be selected for these 3 promotions?

• 60

• 720

• 120

• 30

There are 10 boys and 15 girls in a gym class. The captain must select 5 people from this group to form a team. If the team is selected at random, what is the probability that 3 boys and 2 girls are chosen for the team?

There are 19 students in a class, the teacher is making groups of 3. What is the probability that Alex, Connor, and Meredith all end up in the same group?

• 969

Your history teacher randomly chooses 2 out of 18 students to give an impromptu debate on freedom of press in the high school news paper.  What is the probability that both you and your best friend are chosen to give the debate?  

• 1/153

• 1/306

• 2/153

• 40/51

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?

**A flush is all 5 cards of the same suit (order does not matter).

• 1/1287

• 1/2598960

• 1287/2598960

• 5/52

What's the probability of choosing a red M&M (eating it) and then a green M&M?

• 1/9

• 1/34

• 1/36

• 1/306

There are 10 students in a class: 5 boys and 5 girls. If the teacher picks a group of 3 at random: a) How many groups of 3 girls are possible?​ b) How many total groups of 3 are possible?​ c) what is the probability that everyone in the group is a girl?

• 10

• 120

• 8%

• 60

• 720

• 50%

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

• Permutation

• Combination