Three research departments have 10, 6, and 8 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
1st department (10choices for the delegate and 9 for the alternate, which has 10*9=90 )
2nd department ( 6 choices for the delegate and 5for the alternate, which has 6*5=30)
3rd department ( 8 choices for the delegate and 7for the alternate, which has 8*7= 56 )
therfore, there are 90*30*56 =151200 ways
Three research departments have 10, 6, and 8 members, respectively. Each department is to select a...
There are 10 department members. 33) How many ways can you choose chair, associate chair, and programs head? (a)165 (b) 550 (c) 120 (d) 30 (e) 720 34) How many ways to choose 3 of them to be sent to a conference? (a)165 (b) 550 (c) 120 (d) 30 (e) 720
An accounting firm has 72 members in 6 departments. Each department has 1 senior partner (SP), 2 junior partners (JP) and 9 associates (AS). A sample of 12 of the firm's members will be chosen to attend a professional conference. Choose the best description of each of these sampling methods. Choose the first 12 names on the alphabetical listing of all 72 of the firm's members. → Simple Random Sampling Stratified Random Sampling Cluster Random Sampling Multistage Sampling Systematic Sampling...
12) The Barton Creek Company has three client-contact departments: Market Research, Branding, and Promotion. Each department requires the services of the Legal Department for the contracts that each undertakes. The size of the Legal Department was based on long-run estimates of contracts. Information on the Legal Department's budgeted and actual costs is as follows:The budget for the Legal Department is $400,000+ $15/contract. The budgeted volume of contracts is as follows:The actual number of contracts for Market Research was 207, for...
A senate committee has 10 Democratic and 8 Republican members. A subcommittee containing 5 Democrats and 3 Republicans must be chosen. a) in how many ways can this be done? b) if one Democratic and one Republican senator refuse to sit on the same subcommittee, in how many ways can it be done now?
15 delegates from United Nations are getting together. They will form 5 subcommittees of size of 4, 3, 3, 3, 2 to discuss new policies. Assume that each subcommittee is responsible for a unique policy (a) How many ways can these subcommittees be formed? (b) French delegate and the English delegate wants to be in the same group. How many different ways can the subcommittees be formed? (c) US delegate and the Russian delegate should not be in the same...
bur An equestrian club has sixteen members. If the club wants to select a president, vice president, and treasurer (all of whom must be different), in how many ways this be done? How many ways can the three positions be filled? Study Grade e Text Chap Tools Enter your answer in the answer box Multil StatCrunch O Type here to search D a wa AMG 20 102019
30. a. In how many ways can a club with 15 members be divided into three committees of five members each, with no member serving on more than one committee, if each committee has different duties? If all committees perform the same functions? In how many ways can the club be divided into three commit- tees, each consisting of a chair, a secretary, and three other members, if the committees have different duties and no one serves on more than...
A club has 5 men and 8 women members. how many ways can they select a committee of 5 if there are to be 2 men and 3 women on the committee?
We were unable to transcribe this image(c) Suppose that 8, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to...
3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....