Combinations
Description: This quiz covers the fundamental concepts and applications of combinations in mathematics. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: combinatorics combinations counting probability |
A club has 12 members. In how many ways can a president, vice-president, and secretary be chosen from the members?
A box contains 6 red balls, 4 blue balls, and 2 green balls. In how many ways can 3 balls be selected from the box if at least one ball of each color is to be included?
A committee of 5 people is to be formed from a group of 10 people. In how many ways can this be done if 2 particular people must be included in the committee?
A bag contains 10 red marbles, 15 blue marbles, and 20 green marbles. In how many ways can 6 marbles be selected from the bag if there must be an equal number of red, blue, and green marbles?
A survey is conducted among 100 people to determine their favorite sport. The results show that 60 people like cricket, 40 people like football, and 20 people like both cricket and football. How many people like only cricket or only football?
A company has 10 employees. In how many ways can a team of 3 employees be selected to attend a conference if 2 particular employees must be included in the team?
A bag contains 6 red balls, 4 blue balls, and 2 green balls. In how many ways can 4 balls be selected from the bag if the selection must include at least 1 red ball and at least 1 blue ball?
A club has 15 members. In how many ways can a president, vice-president, secretary, and treasurer be chosen from the members if the president cannot also be the vice-president?
A committee of 5 people is to be formed from a group of 12 people. In how many ways can this be done if 3 particular people must be included in the committee?
A bag contains 10 red balls, 15 blue balls, and 20 green balls. In how many ways can 6 marbles be selected from the bag if there must be twice as many red marbles as blue marbles and three times as many green marbles as blue marbles?
A group of 10 people is to be divided into two teams of 5 people each. In how many ways can this be done?
A club has 12 members. In how many ways can a president, vice-president, secretary, and treasurer be chosen from the members if the same person cannot hold more than one office?
A bag contains 8 red balls, 6 blue balls, and 4 green balls. In how many ways can 6 balls be selected from the bag if there must be an equal number of red, blue, and green balls?
A committee of 5 people is to be formed from a group of 10 people. In how many ways can this be done if 2 particular people must not be included in the committee?