Ignore number 36 as it's for another problem. Also 6b is hidden at the top but needs to be answered as well as 15b at the bottom. I need to be able to provide all work for these questions so showing the work is crucial. Thank you!
36. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions? Question 4 Answer the question that corresponds with your assigned number. If the order in a choice does not matter, then a choice such as F G H is the same as the choice of HF G. The Combination rule applies. If the order in a choice does matter, then a choice such as K L' M is different from a choice of M K L. The Permutation rules apply. 35 On a test in a math class there are 8 questions, and you must answer 5 of them. a. How many ways can you choose the 5 questions if the order does not matter? b. How many ways can you choose the 5 questions if the order does matter? 2! In a history class there are 5 projects, and you must complete 2 projects. a. How many ways can you choose the 2 projects if the order does not matter? b. How many ways can you choose the 2 projects if the order does matter? 3 You must select 3 math help websites from a list that contains 6 different websites. a. How many ways can you choose the 3 websites if the order does not matter? b. How many ways can you choose the 3 websites if the order does matter? 4, You must make 5-guestion tests from a test bank of 8 questions. a. How many tests can you make if the order does not matter? b. How many tests can you make if the order does matter? 5. Four finalists for a job will be chosen from 10 interviewees. a. How many ways can the finalists be chosen if the order does not matter? b. How many ways can the finalists be chosen if the order does matter? 6. A group of 3 students in a class of 22 students will be chosen to make a presentation. a. How many ways can the group of 3 be chosen if the order does not matter? 7. and will choose 3 colors to use. 8, rel 9. 10. tested under a special condition. 11 12 13, 14 15. b. How many ways can the group of 3 be chosen if the order does matter? You are planning to paint your office and have narrowed your choices to 20 paint colors a, How many different combos can you choose if the order does not matter? b. How many combos can you choose if the order does matter? From the 12 albums released by a musician, the recording company wishes to ease 3 in a boxed set. a. How many boxed sets are possible if the order does not matter? b. How many boxed sets are possible if the order does matter? From a collection of 10 store customers, 3 are to be chosen to receive a special gift. a. How many groups of 3 customers are possible if the order does not matter? b. How many groups of 3 customers are possible if the order does matter? An experiment involves 11 participants. From these, a group of 4 participants is to be a. How many groups of 4 participants are possible if the order does not matter? b. How many groups of 4 participants are possible if the order does matter? . Apizza parlor. has a choice of 9 toppings for its pizzas. a. How many 4-topping pizzas can be chosen if the order does not matter? b. How many 4-topping pizzas can be chosen if the order does matter? .. A4-member committee will be formed from 11 people. a. How many committees can be formed if the order does not matter? b. How many committees can be formed if the order does matter? Three television programs will be selected from 13 programs. a. How many groups of 3 programs can be formed if the order does not matter? b. How many groups of 3 programs can be formed if the order does matter? . Five finalists for a job will be chosen from 8 interviewees. a. How many ways can the finalists be chosen if the order does not matter? b. How many ways can the finalists be chosen if the order does matter? On a test in a math class there are 8 questions, and you must answer 6 of them. a. How many ways can you choose the 6 questions if the order does not matter? b. How many ways can you choose the 6 questions if the order does matter? b. How many groups of 4 participants are possible if the order does matter? L EESNNNNN
