
15) A classroom consists of 6 boys and 5 girls. A group of 4 students will...
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...
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)...
In a class, there are 20 girls, and 10 boys. Find the number of ways a teacher can select a team of 4 students to work on a group project if the team consists of: A) any 4 students B) 2 boys, and 2 girls C) 3 girls and 1 boy D) 4 of the same kind E) at least 2 girls
14. A box contains 4 red (numbers from 1 to 4) and 6 blue cards (numbered from 5 to 10). A card is chosen randomly. What is the probability that the card is red given that it is even numbered? a 1/2 b. 1/4 c. 3/4 d. 3/5 e. 2/5 f. None of the above 15. A card is drawn from a well shuffled deck and a second card is drawn without replacement. If the first card is a heart,...
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...
1. How many ways can a group of six boys and sik girls be seated in a row of twelve seats if boys and girls must alternate in the row? ways 2. How many ways can 4 different contracts be distributed amongst 15 different firms, if any one firm can be awarded multiple contracts? ays 3. How many four-digit numbers may be formed using elements from the set (1, 2, 3,4, 5,6,7,8,9) if no element may be used more than...
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?
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
in a classroom theres 15 boys and 25 girls. what is probability 3 students get chosen and are girls?
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?