An English class consists of twenty-one students, and three are to be chosen to give speeches in a school competition. In how many different ways can the teacher choose the team, given the following conditions?
(a) The order of the speakers is important.
(b) The order of the speakers is not important.
An English class consists of twenty-one students, and three are to be chosen to give speeches...
1. Assume that there are an arbitrarily large number of copies of ten different discrete math books (which we will call titles) for cmsc250. Each student must choose one title as the course text book. Assume that the five hundred students taking the course are indistiguishable. You may want to wait until after class on Tuesday to do Parts (e) and (f) (a) How many different ways can the students choose titles? (b) How many different ways can the students...
An elementary school teacher assigns classroom jobs to three students each week, One student hands out craft supplies, one erases the whiteboard, one tak messages to the office. How many different ways can the teacher assign these three jobs to the 24 students in her class? 3. (b) 24 (c) 2024 (d) 12144 (e) 13824
25. Task Assignments How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task?
A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the four students can form a group for an activity. (Type a whole number.)
5. The table below shows the distribution of three exam grades received by students in a very large lecture class. The student's grades are broken down by male or female gender. | A B C Total Male 18 13 39 Female | 10 4 12 26 Total 22 25 65 What is the probability that a student chosen at random did not cam a C? A boy owns 2 pairs of pants, 3 shirts, and 2 jackets. How many different...
Twenty students are to be assigned to three groups: two will contain five members and the remaining ten are in the third group. Each student can only serve on one committee. How many distinct ways can this be done? (Hint: does order matter? The binomial coefficient is used for two groups, for more than two groups use the multinomial formula.)
Twenty students are to be assigned to three groups: two will contain five members and the remaining ten are in the third group. Each student can only serve on one committee. How many distinct ways can this be done? (Hint: does order matter? The binomial coefficient is used for two groups, for more than two groups use the multinomial formula.)
A debate team of 3 is to be chosen from a class of 28 where the order in which the members of the team are chosen does not matter. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the twin brothers? round answer to 3 decimal places
Twenty students compete in a programming competition in which the top four students are recognized with trophies for first, second, third, and fourth places. How many different outcomes are there for the top four places? The judges decide that they will award honourable mention certificates to four individuals who did not receive trophies. In how many ways can the honourable mention recipients be selected (after the top four places have been determined)? How many total outcomes (trophies and certificates) are...
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...