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)?
There are 10 women and 10 men in movie theater. (a) In how many ways can they sit in a row? (b) In how many ways can they sit in a row if the men and women are each to sit together? (c) In how many ways can only the men sit together? (d) In how many ways can they sit together if no two people of the same sex are allowed to sit together?
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...