Combinatorics
Description: This quiz is designed to test your understanding of Combinatorics, a branch of mathematics that deals with counting and arranging objects. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: combinatorics counting arrangements permutations combinations |
In a group of 10 people, how many ways can you select a committee of 5 people?
A bag contains 6 red balls, 4 blue balls, and 2 green balls. How many ways can you select 3 balls from the bag if you must select at least one ball of each color?
A company has 10 employees. In how many ways can the company select a team of 3 employees to attend a conference?
A club has 15 members. In how many ways can the club select a president, a vice president, and a secretary?
A box contains 10 red balls, 12 blue balls, and 15 green balls. How many ways can you select 5 balls from the box if you must select at least 2 red balls?
A committee of 5 people is to be selected from a group of 10 people. How many ways can this be done if 2 particular people must be on the committee?
A company has 12 employees. In how many ways can the company select a team of 4 employees to work on a project if 2 particular employees cannot work together?
A bag contains 8 red balls, 6 blue balls, and 4 green balls. How many ways can you select 4 balls from the bag if you must select at least 1 ball of each color?
A club has 10 members. In how many ways can the club select a president, a vice president, and a secretary if the same person cannot hold more than one office?
A company has 15 employees. In how many ways can the company select a team of 5 employees to attend a conference if the team must include at least 2 women?
A bag contains 10 red balls, 12 blue balls, and 15 green balls. How many ways can you select 5 balls from the bag if you must select at least 1 red ball and at least 1 blue ball?
A committee of 5 people is to be selected from a group of 12 people. How many ways can this be done if 2 particular people must be on the committee and they must be seated next to each other?
A company has 18 employees. In how many ways can the company select a team of 6 employees to work on a project if 3 particular employees cannot work together?
A bag contains 12 red balls, 10 blue balls, and 8 green balls. How many ways can you select 5 balls from the bag if you must select at least 2 red balls and at least 2 blue balls?