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5. (3 points) You have 16 pieces of candy to distribute to 7 people (all persons are distinguishable from one another). How many ways are there to distribute the candy if -each piece of candy is diff...
You want to distribute 100 gold coins among 20 different people. How many ways can he...
You want to distribute 100 gold coins among 20 different people. How many ways can he do this if the gold coins are all... (g) identical but instead are distributed into 20 identical piggy banks such that no piggy bank is empty. (h) different and each person gets exactly five coins. (i) identical and each person gets exactly five coins. (j) different and the Leader gets ten pieces while the other people can get any number of pieces
How many ways are there to distribute 8 identical apples, 6 oranges, and 7 pears among...
How many ways are there to distribute 8 identical apples, 6 oranges, and 7 pears among 3 different people.. Without restriction? With each person getting at least one pair? Please explain this well, and don't write it out in chicken scratch.
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from...
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from Santa under the Christmas tree (yes, somebody did not behave well this year :0. We do not know who these gifts are for. In how many ways can we distribute the gifts? (cach person may get more than one gift) (a) We got 3 different gifts from Santa under the Christmas tro. We do not know who thesc gifts are for. In how many...
Suppose we have 3 distinct people, 4 identical math books, and 5 identical history books. How...
Suppose we have 3 distinct people, 4 identical math books, and 5 identical history books. How many different (distinguishable) ways can ALL the books be distributed to the students? SELECT ALL APPLICABLE CHOICES A) B) 5! 31·41 C) D) None of These 3!.4! 5! A manufacturer considers his production process to be out of control when defects exceed 3 percent. In a random sample of 85 items, the defect rate is 5.9 percent but the manager claims that this is...
discrete math 1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of...
discrete math
1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...
specifically on finite i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at le...
specifically on finite
i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at least one xpeated digin? I. This is the oounting problem Al ancmher so ask yourelr (1) ls onder ipo n How many strings of four bexadeci ) A Compuir Science indtructor has a stack of blue can this i For parts c, d. and e, suppose...
18. (5 points.) Note: For part (c), you will need to knou about the Catalan numbers....
18. (5 points.) Note: For part (c), you will need to knou about the Catalan numbers. See the write-up on the "Content" page of DeL, or see Johnsonbaugh's tezt (in the 7th edition, pages 285-286, starting with Erample 6.2.22; in the 8th edtion, pages 275-276, starting with Erample 6.2.21). For your upcoming internship, you are in charge of bringing pastries to the daily meeting of the four executives of a company. (They are the President and the three Vice-Presidents in...
discrete math do all please 2. Six people attend the theater together and sit in a...
discrete math do all please
2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
Bags of plain M&Ms contain 24% blue candies. You have four bags of candy and select...
Bags of plain M&Ms contain 24% blue candies. You have four bags of candy and select one candy from each bag. The random variable x represents the number of blue candies selected. The selected candy can be classified as either being blue (B) or not being blue (N). Answer the following questions based on this data. As always, you must show all work and formulas used in order to receive full credit. Round all decimals to three places 1. Draw...
Can you please answer questions from Exercise 11-7 E through L and questions from Exercise 11-8...
Can you please answer questions from Exercise 11-7 E through L
and questions from Exercise 11-8 A through E
b. The sum of two fair dice being 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12 c. A coin landing heads or tails when flipped d. A coin landing heads or tails when spun on its side c. A tennis racquet landing with the label up or down when spun on its end f. Your grade in...
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from Santa under the Christmas tree (yes, somebody did not behave well this year :0. We do not know who these gifts are for. In how many ways can we distribute the gifts? (cach person may get more than one gift) (a) We got 3 different gifts from Santa under the Christmas tro. We do not know who thesc gifts are for. In how many...
Suppose we have 3 distinct people, 4 identical math books, and 5 identical history books. How many different (distinguishable) ways can ALL the books be distributed to the students? SELECT ALL APPLICABLE CHOICES A) B) 5! 31·41 C) D) None of These 3!.4! 5! A manufacturer considers his production process to be out of control when defects exceed 3 percent. In a random sample of 85 items, the defect rate is 5.9 percent but the manager claims that this is...
discrete math
1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...
specifically on finite
i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at least one xpeated digin? I. This is the oounting problem Al ancmher so ask yourelr (1) ls onder ipo n How many strings of four bexadeci ) A Compuir Science indtructor has a stack of blue can this i For parts c, d. and e, suppose...
18. (5 points.) Note: For part (c), you will need to knou about the Catalan numbers. See the write-up on the "Content" page of DeL, or see Johnsonbaugh's tezt (in the 7th edition, pages 285-286, starting with Erample 6.2.22; in the 8th edtion, pages 275-276, starting with Erample 6.2.21). For your upcoming internship, you are in charge of bringing pastries to the daily meeting of the four executives of a company. (They are the President and the three Vice-Presidents in...
discrete math do all please
2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
Bags of plain M&Ms contain 24% blue candies. You have four bags of candy and select one candy from each bag. The random variable x represents the number of blue candies selected. The selected candy can be classified as either being blue (B) or not being blue (N). Answer the following questions based on this data. As always, you must show all work and formulas used in order to receive full credit. Round all decimals to three places 1. Draw...
Can you please answer questions from Exercise 11-7 E through L
and questions from Exercise 11-8 A through E
b. The sum of two fair dice being 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12 c. A coin landing heads or tails when flipped d. A coin landing heads or tails when spun on its side c. A tennis racquet landing with the label up or down when spun on its end f. Your grade in...
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