| Question | Answer |
| Five people are to be lined up for a dinner. How many ways can they stand in a line? | 120 ways
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The Hampton Academy Math team did an awesome job at their last meet. The Math team gave each other a high five at the end of the meet. If there are 32 students on the team, how many different high fives were exchanged? | 496 ways
| A group of 15 activists (7 Democrats, 6 Republicans and 2 Independents) want to form a committee so that they can change the world. The committee is to have 6 members on it, with 2 representatives from each party. How many different committees can be formed? | 315 ways
| After the committee has been formed, in question #3, they will appoint a Grand Poobah, a semi-Poobah and a Gofur (these jobs are very different). How many different committees can be formed? | 30,958,830 ways
| How many true/false questions are going to be on the quiz next week if there are 128 different outcomes? | 7 questions
| While working on a problem, Christine observed that p(a,b) and c(a,b) give the same value but that the value for c(a,b)is larger than the value for p(a,b) Explain why this outcome occurs | Combinations require you to divide after finding the permutation.
| The Hulka family has produced 4 children. What is the probability that there are an equal number of boys and girls? Hint: draw a tree diagram to help | 37.5%
| In #7,What is the probability that there are more boys than girls? | 31.25%
| The Murray family has produced 8 children. How many different outcomes are possible? | 256 outcomes
| Rhode Island licensed plates are formed by using 3 letters (A – Z) followed by 2 digits(0 – 9). Vermont license plates are formed by using 3 digits (0 – 9) followed by 3 letters (A – Z). If repetition of any letter or digit is allowed, then: How many RI license plates can be made? | 1,757,600
| Using information from question #9, How many Vermont license plates can be made? | 17,576,000
| There are 12 students in a certain, special math class, and today is PICTURE DAY!! Only 4 students are allowed to be in the front row. How many different front row arrangements can there be? | 11880
| A bag contains one white ball and two red balls. A ball is drawn at random. What is the probability it will be white? Please answer with a fraction, decimal and percent. | 1/3
| Mr. Boppel thinks he’s being followed so when he leaves his house in the morning for his assignment briefing in Brussels, he can decide to travel to the airport by car, by bus, by taxi, by Segway or by bicycle. At the airport he has his choice of any one of 6 different airlines (why he’s not flying his private jet is a mystery to me). After landing at the Brussels airfield, he can travel to his hotel by taxi, by limo, by bus or he can walk. How many different “vehicle pathway” outcomes are there for Mr. Boppel to travel from his house to his hotel in Brussels? | 120
| Suppose you borrowed your friend’s debit card and hurriedly left to use it at the ATM in the mall that’s miles away. As you got there you remembered that you neglected to get his PIN, and since you were in a hurry, you forgot your cell phone, so there’s no way to contact him. You do know that his PIN is 5 characters long, with each of the first 2 characters being alphabetic and the final three being numeric. You have resignedly decided to try every possibility, and since you are terribly methodical, it takes you exactly 3 seconds to enter each attempt and await a reply. If you start this exercise at noon, you work around the clock, and you enter the correct PIN on the very last attempt, on what day and at what time will you be done? Note: This ATM machine will not “shut down”, no matter how many incorrect attempts you make. | 676,000 He will be done on the 24th day at 11:20pm.
| Find each of the following probabilities when rolling two dice:rolling a sum of either 7 or 9, rolling a sum greater than 5, rolling a 6 on exactly one die, rolling doubles, rolling a prime number on either or both die, rolling a sum that is a multiple of 5, rolling a sum greater than 12 | figure them all out |
