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 using letters with at least one letter repeated?
Problem 4
a) How many committees of 4 people have at least one boy and at least one girl?
b) How many committees of 4 people have either Charlee or Ashley but no both on them (Charlee and Ashley are two of the class)?
c) How many committees of 4 are there if one of its member is the leader (different responsibility)?
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?
How many ways can 8 people be seated around a circular table if (a)There are 4 men and 4 women, and no 2 men or 2 women can sit next to one another? (b)There are 5 men and they must sit next to each other? (c)There are 4 married couples and each couple must sit together?
How many ways are there for four men and five women to stand in a line so that: a) All men stand together? b) All women stand together?
43. Selecting a Committee There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must be 2 men and 2 women on the committee? How many ways can this committee be selected if there must be at least 2 women on the committee?
How many different committees of 6 people can you form from a group of 10 men and 8 women so that it includes 4 women and 2 men? The positions of the committee are not numbered in any way. Show how you arrive at your answer. Thank You
In how many ways can a committee of two men and three women be formed from a group of six men and eight women? A committee of two men and three women can be formed from a group of six men and eight women indifferent ways. ьох. 11:59pm e to search Si In how many ways can a committee of two men and three women be formed from a group of six men and eight women? A committee of two...
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?
A group of women and men line up for a photograph. Find the probability that at least two people of the same gender are adjacent if there are (a) 5 men and 4 women; (b) 4 men and 4 women.
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
A committee of 5 people must be selected from 10 men and 5 women. How many different ways this can be done If there must be 3 men and 2 women in each committee?