e price of a European tour includes seven stopovers to be selected from among 9 cities....
The President must assign ambassadors to seven different foreign embassies. From a pool of eight candidates, how many different diplomatic teams can she form? Determine the appropriate counting technique. Choose the correct answer below. A. Permutations should be used because we make selections from a group of choices. B. Arrangements with repetition should be used because no item may be selected more than once and the order matters. C.Combinations should be used because no item may be selected more than...
If the order of objects is not of importance, how many ways can nineteen objects be selected three at a time? Why is this result different from the result when order matters?There are blank different ways to select three objects at a time. (Type a whole number.) Explain why this result is different from the result when order matters. Choose the correct answer below. A. When order does not matter, picking the first object before the second object is the...
Seven Olympic sprinters are eligible to compete in the 4 x 100 m relay race for the USA Olympic team. Does order matter in this situation? Explain why or why not. How many four-person relay teams can be selected from among the seven athletes?
Kelly has different books to arrange on a shelf; 2 blue, 4 green, and 3 red. Answer parts a through e below. (a) In how many ways can the books be arranged on a shelf? way(s) (Type a whole number.) (b) If books of the same color are to be grouped together, how many arrangements are possible? way(s) (Type a whole number.) (c) In how many distinguishable ways can the books be arranged if books of the same color are...
Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many ways can this be done, if the order of the choices does not matter? x 6 ? (b) How many ways can this be done, if the order of the choices matters?
Answer the questions below. (a) There are 14 European cities that Kevin would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.) (b) From the 12 albums...
. A political discussion group consists of four Democrats and seven Republicans. Three people are selected (at random) to attend a conference. a. In how many ways can three people be selected from this group of eleven? b. In how many ways can three Republicans be selected from the seven Republicans? c. Find the probability that the selected group will consist of all Republicans.
Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair. (a) How many ways can this be done, if the order of the choices matters? х ? 0 (b) How many ways can this be done, if the order of the choices does not matter?
A committee of 4 is selected from a group of 9 faculty and 45 students. In how many different ways can the committee be selected if it must consist of one faculty and three students?
A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 10 of merlot, and 12 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) If 6 bottles of wine are to be randomly selected from the 3oseving, how many ways are there to do this?...