Question 5: There are 6 persons in an office. A group consisting of 3 persons has...
How many different pairs of people can you select from a group of 9 persons, if the order of selection does not matter?
a. How many ways to pick president, secretary and treasurer from a group of 5 people? b. How many ways to get 3 heads, if you flip a coin 5 times (the order does not matter)?
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees are possible if 2 men refuse to serve together and 2 women will only serve if they are together. (10 pts)
A committee consisting of 2 faculty members and 3 students is to be formed. Every committee position has the same duties and voting rights. There are 6 faculty members and 15 students eligible to serve on the committee. In how many ways can the committee be formed?
In how many ways can a committee consisting of 6 men and 6 women be selected from a group consisting of 10 men and 9 women?
1.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order DOES matter? 2.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order does NOT matter?
15) A classroom consists of 6 boys and 5 girls. A group of 4 students will be selected to work on a project. The group must include at least 1 boy and at least 1 girl. In how many different ways can this group be formed?
3. Four students are to be selected for the leadership group of a club that currently has 20 students. Of the 20 students in the dub, there are 9 CS majors, 5 English majors, 3 Socialogy majors, 2 Math majors, and 1 Data Science major. (a) How many different groups of 4 students are possi ble, assuming order does not matter (and majors do not matter)? (b) If each group is equally likely to be picked, what is the probability...
3. Four students are to be selected for the leadership group of a club that currently has 20 students. Of the 20 students in the club, there are 9 CS majors, 5 English majors, 3 Sociology majors, 2 Math majors, and 1 Data Science major (a) How many different groups of 4 students are possible, assuming order does not matter (and majors do not matter)? (b) If each group is equally likely to be picked, what is the probability that...
(4 points) From a group of 8 men and 6 women a committee consisting of 4 men and 3 women is to be formed. How many different committees are possible if (a) 2 of the men refuse to serve together? answer: (a) 2 of the women refuse to serve together? answer: (a) 1 man and 1 woman refuse to serve together? answer: