3. Suppose my graph theory class has 12 different students, of which 6 are under- grads and 6 are graduate students. (a). How many ways can I choose at least 4 but no more than 8 of my students to ta...
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...
Part B(COMBINATORICS) LEAVE ALL ANSWERA IN TERMS OF C(nr) or factorials Q4(a)6) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Suppose you are a math major who is behind in requirements and you must take 4 math courses and therefore next semester. Your favorite professor, John Smith, is teaching 2 courses next semester you "must" take at least one of them. If there...
4. How many ways can you choose three toppings from 10 different toppings available at a Pizza delivery store? Also if you are ranking the three toppings chosen out of 10 toppings, how many different ways are possible? 5. If 40 % of all commuters ride to work in carpools, find the probability that exactly 4 will ride in carpools out of 10 workers? Also find the probability that nobody will ride in carpools out of 10 workers? 6. If...
2. Suppose an electronics store receives 30 graphing calculators. a. How many different ways can the store select 4 calculators from among the 30 to send to a customer? b. If 6 of the calculators are defective, how many of the selections contain no defective calculators? c. Use the results of parts a and b to calculate the probability that the customer receives at least one defective calculator. d. How many of these selections contain 1 defective calculators? Combine this...
9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors. a) In how many ways can a group of 6 students be selected from this group? b) If the study group is to consist of 2 freshmen, 3 sophomores, and 1 junior, how many different groups are possible? c) What is the probability that a group of 6 students will consist of 2 freshmen, 3...
PartB (COMBINATORICS) -LEAVE ALL ANSWERA IN TERMS OF C(n,r) or factorials, Q4(a)(i ) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Su next semester. Your favorite professor, John Smith, is teaching 2 courses next semester and therefore ppose you are a math major who is behind in requirements and you must take 4 math courses you "must" take at least one of them....
please illustrate each stepbof the solution so I can understand thank you 4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint the numbered vertices, if two colors (red and blue) are available? (b) How many ways, if additionally we want that at most two numbered vertices are painted red? 4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint...
There are many different ways in which firms can organize themselves: There are flat organizations and there are tall organizations. There are organizations structured by products, divisions, and geography. But one thing nearly all structures have in common is a chain of command, or hierarchy. Do companies have to set up that way? Tony Hsieh doesn’t think so. Hsieh is the CEO of Zappos, the online seller of shoes. Hsieh is a guy who thinks outside of the box. When...
I think I can pinpoint my confusion a bit better. Here comes my updated question (I'm not sure what the standard way of doing things is - please let me know if I should delete the old version). The major change is that I removed focus from the third question which probably is a purely mathematical question (in the notation below, it asks what properties of (M,T) together with (M,T) being consistent, forces (M,T) to be unique.). Say that a...
These tests are intended for undergraduate students in college or those under 18 years of age.Read these directions carefully!The below test includes 10 questions, randomly selected from a large inventory. Most questions will be different each time you take the test,You must answer at least 9 out of 10 questions correctly to receive your Certificate.You have 40 minutes to complete each test, and you must answer all 10 questions in order to to see your results. If you do not...