
(3) (1 pt Extra-Credit) In how many ways can four $500 prizes be assigned to four...
There are 12 finalists in a singing competition. The top six singers receive prizes. How many ways can the singers finish first through sixth?
6) At a Thanksgiving party there is are 3 door prizes given away at the end of the evening There are 20 people attending the party Determine the following How many ways different ways can the 3 prizes be awarded if the first prize is an I-pod, the second prize is a free family dinner to an Italian restaurant, and the third prize is $25 gift card to Starbucks. How many different ways can the 3 prizes be award if...
a. In how many ways can 3 out of 11 engineers be assigned to the project roles of team leader, test engineer, and quality engineer? b. A carton of 18 rechargeable batteries contains three that are defective. In how many ways can an inspector choose 4 of the batteries and get exactly one defective battery?
A contest of 10 girls has 3 winners. In how many ways can you choose 3 winners if; A. You select a first, second, and third place? B. You select a group of 3 winners?
In how many ways can 3 out of 11 engineers be assigned to the project roles of team leader, test engineer, and quality engineer?
Two classmates, Jorge and George, are assigned an extra-credit group project. Each student can choose to Shirk or to Work. If one or more players choose Work, the project is completed and provides each with extra credit valued at 4 payoff units each. The cost of completing the project is 6 units of effort (measured in payoff units) that is divided equally among all players who choose to Work and this is subtracted from their payoff. If they both Shirk,...
The basketball team has 12 players. How many ways can five of them be chosen to play on the floor if they are each assigned a particular position (center, power forward, small forward, point guard, shooting guard)?
In a university games tournament, 64 students are about to participate in a chess knockout competition The first round consists of 32 games, with two students per game. The 32 winners of the first round get to play in the second round, which consists of 16 games, and so on, until an overall winner is declared in the sixth round. (In the case of a draw on any game, a coin is tossed to determine the winner.) (a) In how...
In how many ways can 22 identical bottles of soda be distributed among four people, disregarding the order of distribution, so that each person gets at least one bottle? 34.
1. In how many ways can four aces be drawn from a deck of cards? (Order is not important.) 2. If a family has six children, in how many ways could the parents have four boys and two girls? 3. Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. 4. A club with 23 members is to select a committee of...