In a class, there are 20 girls, and 10 boys. Find the number of ways a...
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?
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
A class has 12 boys and 18 girls. The teacher selects 3 boy and 3 girl to act as representatives to the student government. How many ways can the teacher select the 6 students? Can u please answer this using a permutation
A class has 12 boys and 18 girls. The teacher selects 3 boys and 3 girls to act has representatives to the student government. How many different ways can the teacher select the 6 students? In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there to deal the cards?
2.Exam-like questioin A class consists of 12 girls and 16 boys. Jane is one of the girls and Jonatharn is one of the boys. (i) In how many ways can we make a group of 2 girls and 3 boys? (ii) What is the probability that Jane is not in that group and Jonathan is? (iii) What is the probability that Jonathan is and Jane is not in a group of 5 students selected randomly out of the 28? (iv)...
1) In a certain class of students, there are 11 boys from Wilmette, 6 girls from Winnetka, 7 1) girls from Wilmette, 4 boys from Glencoe, 2 boys from Winnetka and 9 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy?
There are seven boys and three girls on a team. The coach must select four people from this group to participate in the championship. a. How many four-persons teams can be formed from the group of ten students? b. In how many ways can four boys be chosen to participate in the championship? c. What is the probability that four boys are chosen for the team? d. In how many ways can three boys and one girl be chosen to...
3. A 5 grade class composed of 15 girls and 13 boys is trying to wants to play soccer against a different class during their lunch break. They need 11 players to form a team. a) How many ways can they form the team if all students are allowed to be on the team? b) how many ways can they form the team if they need to have 6 girls and 5 boys on the team?
PLEASE ANSWER CLEARLY Suppose there are 30 students in a class of which 10 are boys and 20 are girls. a. What is the probability of randomly selecting without replacement, a boy first and then two girls? Round decimal answers to 3 decimal places. Suppose there are 30 students in a class of which 10 are boys and 20 are girls. b. What is the probability of randomly selecting at least one boy in 5 students with replacement)? Show fraction(s)...
11. Suppose a class of 8 boys and 7 girls are to attend a theatrical performance, and the teacher obtains 15 tickets (one for each student) in a row. How many ways are there to order the students under the following conditions? a The children are randomly assigned seats. b Boys and girls are alternated so that boys sit by girls and girls sit by boys. c All boys sit together, and all girls sit together.