Assume there are 65 students in our class and that 30 of the students are women.
(a) How many different 6 member committees are there? (Please leave your answer in terms of (n k) <-- on top of each other
(b) How many different 6 member committees are there if the committees contain 3 men and 3 women?
(c) How many different 6 person committees are there if there one president, one vice-president, and 4 other members?
Assume there are 65 students in our class and that 30 of the students are women....
A class contains 12 students with 6 men and 6 women. Find the number n ways: A 4-member committee can be selected from the students. A 4-member committee with 2 men and 2 women. The class can elect a president, vice-president, treasurer, and a secretary.
Thirty students are members of the Biology Club: 21 are men (one of whom is named Joe) and 9 are women (one of whom is named Kate). Five students are to be selected (unordered, without replacement) to form the Leadership Committee. 12a) How many different Leadership Committees are possible? 12b) Refer to the previous question. How many options are there if Joe can’t be on the committee? How many options are there if Joe must be on the committee? Hint:...
(A)There are 33 students in a graduate class. The students are to be divided into three groups of 10, 11, and 12 members for a class project. How divisions are possible? (B) A committee of 13 is to be chosen from a group consisting of 14 men and 15 women. How many committees are possible?
Problem 2 a) In how many ways can 6 women and 5 men line up so that no two men are next to one another? b) In how many ways can 7 different pairs of twins line up so that twins must be next to one another? c) In how many ways can 7 women and 10 men sit at a circular table so that no two women are sitting side by side? d) How many strings of length 5...
In a small class, there are 10 students, 6 men and 4 women. Only four students can be accommodated on an exciting all expense paid field trip. Two must be men and two must be women. How many different sets of students could be selected for the trip? Please explain how to get the answer below using combination and / or permutation method(s). Answer: 90
Assume a class has 19 members. a. In how many ways can a president, a vice president, and a secretary be selected? b. How many committees of 88 people can be chosen?
A MATH 3003 Probability and Statistics class has 32 registered students, 23 female and 9 male. An all male committee of president, vice-president, and executor will be selected in that order from this class. How many different committees can be assembled? 84 4960 None of the alternatives. 10,626 504
Select the best alternative. A MATH 3003 Probability and Statistics class has 32 registered students, 23 female and 9 male. A committee of a female president, female vice-president, and male executor will be selected in that order from this class. How many different committees can be assembled? 10,626 504 None of the alternatives. 1656 4554
3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....
From a group of 6 men and 5 women. a. How many different committees can be formed if one of the men must be in the committee? b. How many different committees can be formed if 2 of the women are enemies and refuse to serve on the committee together?