11.7 Combinations Quiz

A gym coach selects a team of 4 athletes from 14 athletes to represent the school at a track and field meet. Tell whether the number of teams the coach can select can be counted using permutation or combinations. Then find the number of teams.

• Permutations. 24,024

• Combinations. 0

• Combinations. 1,001 teams

• Permutations. 8.7x10^10

A radio station takes the name of the first 20 listeners who call in after hearing a certain song. The station will randomly select 3 of the callers to win tickets to a concert. How many possible combinations of 3 callers can be selected to win tickets?

• 2.4*10^18

• 1140

• 6840

• 2.09*10^13

• None of these

A radio station takes the name of the first 20 listeners who call in after hearing a certain song. The station will randomly select 3 of the callers to win tickets to a concert. There are 3 friends trying to all win tickets together. How many possible combinations of 3 ticket winners include all 3 of the friends?

• 1

• 3

• 6

• 5

A radio station takes the name of the first 20 listeners who call in after hearing a certain song. The station will randomly select 3 of the callers to win tickets to a concert. 3 Friends want to win tickets together. Find the probability that the 3 friends win tickets.

• 1/3

• 1/380

• 1/1140

• 1/alot

• none of these

Tags

CCSS.HSS.CP.B.9

A club is scheduling a week of meetings to plan for its annual fundraiser. The club wants to meet on 3 of the evenings next week from Monday through Friday. How many different schedules can the club choose?

• 120 schedules

• 6 schedules

• 60 schedules

• 10 Schedules

• None of these

A subway car has 8 empty seats. At one stop, 5 people enter the car and no one gets off. How many ways can the 5 people arrange themselves in the 8 empty seats if each person takes one seat?

• 6720

• 56

• 120

• 6

At an upcoming talent show, you plan to play 3 songs on the piano. There are 6 songs you know well enough to perform, how many different groups of 3 songs can you choose to play?

• 720

• 6

• None of these

• 120

• 18

At an upcoming talent show, you plan to play 3 songs on the piano. There are 6 songs you know well enough to perform. Once you have chosen 3 songs, in how many ways can you play them at the talent show?

• 6 ways

• 1

• 3

• 9

• None of these

You and your friends are choosing toppings for a pizza. There are 4 meat toppings and 6 vegetable toppings from which to choose. How many pizzas having 1 meat topping and 2 different vegetable toppings can you choose?

• 15

• 120

• 36

• 60

• None of these

You and your friends are choosing toppings for a pizza. There are 4 meat toppings and 6 vegetable toppings from which to choose. How many pizzas having 2 different meat toppings and 1 vegetable topping can you choose?

• 36

• 120

• 60

• 12

• None of these beith the answer