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?
first part
3 boys can be selected from 12boys in ways =220 ways
3 girls can be selected from 18 girls in ways = 816 ways
therefore the teacher selects 6 students in 220*816 = 179520 ways
second part
first player selects 5 cards from 52 cards in ways
second player selects 5 cards from remaining 47 cards in ways
continuing like this
number of ways to deal the cards is
A class has 12 boys and 18 girls. The teacher selects 3 boys and 3 girls...
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
52. In a class of 12 boys and 9 girls, the teacher selects three students at random to write problems on the board. What is the probability that all the students selected are boys? (Round your answer to four decimal places.)
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.
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?
9. (4) A math class has 7 girls and 5 boys in the ninth grade and 5 girls and 5 boys in the tenth grade. Jessica Hathaway, the teacher randomly selects a ninth grader and a tenth grader from the class for a competition at the Pi-Byte Club. What is the probability the students she selects are both boys? Write your answer as a fraction in simplest form.
A group of 7 friends are playing poker one night, and one of the friends decides to try out a new game. They are using a standard 52-card deck. The dealer is going to deal the cards face up. There will be a round of betting after everyone gets one card. Another round of betting after each player gets a second card, etc. Once a total of 7 cards have been dealt to each player, the player with the best...
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
10.(4 pts.) The four players in a bridge game are dealt 13 cards each (out of a standard 52-card deck). How many ways are there to do this?
26. -12 points v From a standard 52-card deck, how many 5-card poker hands can be dealt consisting of the following cards? (a) Five clubs poker hands (b) Three kings and one pair poker hands
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)...