21 questions
Which of the expressions below are the same as 12C3
Permutation or combination,
Picking a team of 3 people from a group of 10.
10C3 Combination
10P3 Permutation
3C10 Combination
7C3 Permutation
12C7 combination
12P7 permutation
12! neither
45C3 combination
45P3 permutation
45 x 3 neither
42C3 combination
42P3 permutation
Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.
17 x 3 =51
17P3=4080
17C3=680
14C3=364
Permutation or combination,
Choosing 3 toppings for your sundae out of a list of 15
15P3 Permutation
15C3 Combination
15C12 Combination
3P15 Permutation
Permutation or combination,
Picking a President, Vice-President, and Secretary from a group of 12.
12P3 Permutation
12C3 Combination
3C12 Combination
3P12 Permutation
There are 10 students in a class: 5 boys and 5 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.
What is the probability that the committee is made up of 3 women and 1 man?
A teacher is selecting 6 students to participate in a project out of a class of 18. Would this be a permutation or combination?
18C6 combination
18P6 permutation
6C18 combination
18! permutation
A teacher is selecting 6 students to participate in a project out of a class of 18. How many different ways can the teacher select this group of 6?
13366080
80196480
2227680
18564
73440
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 teacher is selecting 6 students to participate in a project out of a class of 18. How many different ways can the teacher select this group of 6?
13366080
80196480
2227680
18564
73440
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
The salad bar at a local restaurant offers 15 different salad toppings.How many different possible combinations of 5 toppings can be selected when making a salad.
360,360
50
3003
75
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?
Which of the expression below is the same as 8C3