There are 12 students in a party. Five of them are girls. In how many ways...

There are 12 students in a party. Five of them are girls. In how many ways can these 12 students be arranged in a row if (i) there are no restrictions? (ii) the 5 girls must be together (forming a block) (iii) no two girls are adjacent? (iv) two particular boys A and B, there are no boys but exactly 3 girls?

Expert Solution

Colby Messinger answered 2 years ago

There are 12 seats in a row. How many ways can we seat 4 students if...

There are 12 seats in a row. How many ways can we seat 4 students if no two students are to sit in adjacent seats?

a kindergarten class consists if 11 boys and 14 girls. How many ways can the following...

a kindergarten class consists if 11 boys and 14 girls. How many ways can the following be done? Write final answer in number form. (a) six students are to be selected for the Naptime Committe (b) In the above Naptime comitte, at least two boys and two girls must be on the committe (c) a gold start, a green start, a red star, and a blue star are each to ve awarded to one student. Assume no student receives more...

How many ways can you arrange 5 boys and 6 girls alternately in a row of...

How many ways can you arrange 5 boys and 6 girls alternately in a row of 12 seats? An empty seat between 2 boys is not allowed. As it is so for 2 girls. The choices given are: a. 86,400 b. 345,600 c. 691,200 d. 1,036,800 e. 2,764,800

In how many ways can 3 men, 4 women, 5 boys, and 3 girls be selected...

In how many ways can 3 men, 4 women, 5 boys, and 3 girls be selected from 7 men, 9 women, 6 boys and 8 girls if a. no restrictions are imposed, b. a particular man and woman must be selected?

In how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected...

In how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys and 5 girls if a particular man and woman must be selected?

1. For 25 randomly selected students, ( a) how many ways do all the 25 students...

1. For 25 randomly selected students, ( a) how many ways do all the 25 students have different birthday? b) find the probability that at least two students have the same birthday. c) find the probability that only two share the same birthday. d) for probability computed above identify the sample space, the experiment and outcomes. e) can a random variable be used for the case above? If yes list the possible values for the variable. I figured out a...

In a survey, students are asked how many hours they in a typical week. A five...

In a survey, students are asked how many hours they in a typical week. A five number summary of the responses is 4,5,8,12,20. Which interval describes the number of hours spent studying in a typical week for about 25% of the students sampled?

A student council consists of 15 students. (a) In how many ways can a committee of...

A student council consists of 15 students. (a) In how many ways can a committee of five be selected from the membership of the council? (b) Two council members have the same major and are not permitted to serve together on a committee. How many ways can a committee of five be selected from the membership of the council? (c) Two council members always insist on serving on committees together. If they can't serve together, they won't serve at all....

a. How many ways are there to rearrange the letters of Massachusetts? b. How many ways...

a. How many ways are there to rearrange the letters of Massachusetts? b. How many ways are there to rearrange such that M can't be at the beginning and A can't be at the end? c. How many ways are there to have the two t's consecutively (next to each other)?

How many ways a team of five salespersons can be formed from a group of 10...

How many ways a team of five salespersons can be formed from a group of 10 salesmen and 8 saleswomen, if the team contains at most 2 saleswomen?

Question