Suppose the Leafs tied the Canadiens 5-5 after regulation time. How many ways could this happen if the Leafs were never losing?
Suppose the Leafs tied the Canadiens 5-5 after regulation time. How many ways could this happen...
2. Consider penalty shoot-outs in soccer that happen when the score is tied after the regulation playing time has expired (Let's call this state "tie"). Suppose that there two teams (Team A and Team B), and rounds of one kick per team, until the tie is broken (that is, starting from a tied score, there is a round of one penalty kick per team. If Team A scores, but team B doesn't, then Team A wins the game. But if...
2. Consider penalty shoot-outs in soccer that happen when the score is tied after the regulation playing time has expired (Let's call this state "tie"). Suppose that there two teams (Team A and Team B), and rounds of one kick per team, until the tie is broken (that is, starting from a tied score, there is a round of one penalty kick per team. If Team A scores, but team B doesn't, then Team A wins the game. But if...
2. Consider penalty shoot-outs in soccer that happen when the score is tied after the regulation playing time'has expired (Let's call this state "tie"] Suppose that there two teams (Team A and Team B), and rounds of one kick per team, until the tie is broken (that is, starting from a tied score, there is a round of one penalty kick per team. If Team A scores, but team B doesn't, then Team A wins the game. But if both...
(A) How many different ways are there for 17 of the 24 people to develop the disease? (B) Now suppose 9 of the 24 people carry a specific genetic mutation, and 5 of those are in the group that develops the disease. How many different ways are there for this to happen?
2. company has 10 part-time empioyees and 8 full-time employees. A a. How many ways to choose a committee including 2 part-time and 3 full-time employees? b. How many ways to choose a 3-member committee including exactly 2 full-time employees? c. How many ways to choose a 3-member committee with a full-time president, a part-time secretary, and a treasurer who could be either full-time or part-time?
Suppose that in Newnham there are 5 banks and 100 households. How many ways can we pick a bank and household for this region?
3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....
In how many ways could 17 people be divided into five groups containing, respectively, 2, 6, 5, 3, and 1 people?
Suppose we pick 2 integers together, in the range from 1 to 100. How many ways are there to pick these 2 numbers such that their product is a multiple of 7? 5. How many even positive integers are there that are divisors of 30030? 6. Suppose 6 identical dice each with faces numbered 1 through 6 are tossed at the same time. What is the probability of the event "the result of the outcome is such that three different...
how many ways can thirteen objects be selected four at a time