Suppose that 16 runners are competing in a mile-long race. Medals are awarded at the conclusion of the race to the first...
Suppose that 16 runners are competing in a mile-long race. Medals are awarded at the conclusion of the race to the first, second, and third place participants. How many possible ways can the medals be distributed among the runners?
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Suppose that 16 runners are competing in a mile-long race. Medals are awarded at the conclusion of the race to the first...
Eight athletes are running a race. A gold medal is to be given to the winner,...
Eight athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (If necessary, consult a list of formulas.) X 5 ?
Ten athletes are running a race. A gold medal is to be given to the winner,...
Ten athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (If necessary, consult a list of formulas.) X 5 ?
At the State High School Track and Field Championships, Joaquin is one of seven students to...
At the State High School Track and Field Championships, Joaquin is one of seven students to qualify for the finals of the 100 Meters race. Gold, silver and bronze medals will be awarded to the first, second, and third place finishers. Considering that there can be no ties and assuming that all runners have an equal chance of success, what is the probability that Joaquin will bring home some kind of medal in this event? (HINT: How many ways could...
Suppose that 23 people are competing in an Olympic event, where first place earns Gold, second...
Suppose that 23 people are competing in an Olympic event, where first place earns Gold, second place earns Silver, and third place earns Bronze. How many different possible outcomes are there for this Olympic event?
Suppose you have a checkers board. (8 squares wide and 8 squares long) and you have...
Suppose you have a checkers board. (8 squares wide and 8 squares long) and you have 16 checkers. How many ways can the checkers be placed on the board if there are no restrictions?(3) Now, suppose you must place 2 checkers in each row. How many ways can this be accomplished?(2)
please provide the answers clearly 9. A television director is scheduling a certain sponsor's commercials for...
please provide the answers clearly
9. A television director is scheduling a certain sponsor's commercials for an upcoming broadcast. There are eight slots available for commercials. In how many ways may the director schedule the commercials (a) If the sponsor has eight different commercials, each to be shown once? (b) If the sponsor has four different commercials, each to be shown twice? (c) If the sponsor has three different commercials, the first of which is to be shown five times,...
A simple survey consists of three multiple choice questions. The first question has 5 possible answers,...
A simple survey consists of three multiple choice questions. The first question has 5 possible answers, the second has 3 possible answers and the third has 4 possible answers. In how many different ways can you complete this survey? use counting rule method
Suppose that, as a researcher, you're interested in the possible interplay between race and face recognition....
Suppose that, as a researcher, you're interested in the possible interplay between race and face recognition. You choose 80 participants, 16 of whom are of African descent, 16 of whom are of Western European descent, 16 of whom are of East Asian descent, 16 of whom are of Pacific Islander descent, and 16 of whom are of Middle Eastern descent. You let each participant examine a collection of 35 photographs of faces of college students who are African-American. You then...
Problem 2 You are the owner of a car racing team competing in the Formula 1...
Problem 2 You are the owner of a car racing team competing in the Formula 1 championship. The cars of your team require two different types of tires: (1) wet tires, which are suitable for driving under heavy rain conditions and (2) dry tires, which work better in sunny days. The number of tires needed by your team for each of the seven races of the championship are listed in Table 3 Type/Race 234567 Wet tires 30 20 40 55...
A high school debate team of 4 is to be chosen from a class of 35....
A high school debate team of 4 is to be chosen from a class of 35. How many possible ways can the team be formed? Is this a combination or permutation problem? There are 47 contestants at a national dog show. How many different ways can contestants fill the first place, second place, and third place positions? Is this a combination or permutation problem? The Department of Commerce in a particular state has determined that the number of small businesses...
Eight athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (If necessary, consult a list of formulas.) X 5 ?
Ten athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (If necessary, consult a list of formulas.) X 5 ?
At the State High School Track and Field Championships, Joaquin is one of seven students to qualify for the finals of the 100 Meters race. Gold, silver and bronze medals will be awarded to the first, second, and third place finishers. Considering that there can be no ties and assuming that all runners have an equal chance of success, what is the probability that Joaquin will bring home some kind of medal in this event? (HINT: How many ways could...
please provide the answers clearly
9. A television director is scheduling a certain sponsor's commercials for an upcoming broadcast. There are eight slots available for commercials. In how many ways may the director schedule the commercials (a) If the sponsor has eight different commercials, each to be shown once? (b) If the sponsor has four different commercials, each to be shown twice? (c) If the sponsor has three different commercials, the first of which is to be shown five times,...
Suppose that, as a researcher, you're interested in the possible interplay between race and face recognition. You choose 80 participants, 16 of whom are of African descent, 16 of whom are of Western European descent, 16 of whom are of East Asian descent, 16 of whom are of Pacific Islander descent, and 16 of whom are of Middle Eastern descent. You let each participant examine a collection of 35 photographs of faces of college students who are African-American. You then...
Problem 2 You are the owner of a car racing team competing in the Formula 1 championship. The cars of your team require two different types of tires: (1) wet tires, which are suitable for driving under heavy rain conditions and (2) dry tires, which work better in sunny days. The number of tires needed by your team for each of the seven races of the championship are listed in Table 3 Type/Race 234567 Wet tires 30 20 40 55...
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