Ex 1 We have 8 people in the family. (a) We got 3 different gifts from...
1. How many decorations are there using 12 blue balloons, 9 green lanterns and 6 red ribbons in a row, such that no two ribbons are next to each other? 2. In how many ways can one distribute seven different gifts among 10 children if no child is to receive more than one gift?
4) We have six gifts numbered 1,...,6 and six Each person has a set of favorite gifts as shown people named Alice, Bob, Carol, David, Erin, and Frank. below ame Favorite lice 1, 3 1, 2, 3, 4, 5, 6 2, 3 1, 2, 5 avi Erin an 2, 3, 5 Can we give one gift to cac h person so that everybody gets a gift they like? Prove your answer 4) We have six gifts numbered 1,...,6 and six...
If a person can select 3 presents from 16 presents under a Christmas tree, how many different combinations are there? Use a graphing calculator. There are ways to select 3 out of 16 presents under a Christmas tree.
This week we study how consumers make decisions to maximize their benefit (most satisfaction, biggest "bang for a buck"). But what if decisions are made for us as it is the case with gifts? Do gifts maximize our benefit? Is there more to gifts than just monetary value? Earlier this week, Waldfogel was at it again in a webcast for members of the media that was sponsored by the National Science Foundation. Here is just some of his math: Americans...
3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the following questions. (Explain your answers.) (a) (3 points) How many ways can everyone order an entree so that all entrees are different? (b) (3 points) How many ways can everyone order an entree if at least one person orders the most expensive entree and at least one person orders the least expensive entree? (c) (3 points) How many ways can everyone order an entree...
Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished? Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished when one person will be the lead, one will be the record keeper, and one will be the researcher?
1. a. We know that some people people who are highly suggestible have a vivid imagination and fantasy life. This leads us to hypothesize that the ability to recall dreams ill also be affected by hypnotic susceptibility (HS). Using the Stanford Scale of Hypnotic Susceptibility, we create low, medium, and high susceptibility groups by selecting from volunteers who took the scale. We then asked the volunteers to keep a dream diary for 1 month. At the end of the month,...
A club consisting of 8 members needs to elect 3 officers: Treasurer, Secretary and Chancellor. If each office must be held by a single person and no person can hold more than one office, in how many ways can those offices be filled?
We have a lottery with three prizes. Two of them are $30 and the grand is $200. The total number of tickets is 70 and one for each person. No one can win more than a prize. When the tickets are pulled, the first two prizes of $30 are awarded, then the grand prize. a) how many ways we can award the prizes? b) Suppose a person has one ticket, what's the probability of winning any prize? c) If a...
1) We have a population of frogs with a mean weight of 0.9 pounds. We select four frogs and find their average weight. What do you suppose it will be? 2)Two events are independent of each other. If the probability of the first is 0.6, and the probability of the second is 0.2, what is the probability that both occur? 3)We are to select a president, vice-president, secretary, and treasurer out of a club with 15 members. Assuming that no...