I have 20 children in my class, and I’m going to pick five of them to line up in a parade. Where they are in line matters. How many ways can I form my line?
I have 20 children in my class, and I’m going to pick five of them to...
three children in a class of 16 children are going to be awarded prizes for a writing contest. How many possible ways are there to pick the winners if each prize is different?
I have 9 different books. Four are red, five are blue. I’m going to toss three of them into my backpack. What’s the percent chance that I will be tossing all blue books into my backpack? (Your answer will be a decimal between 0 and 1 - make sure to give me at least three decimal place accuracy)
You have a group of 40 people. You need to pick 20 in order to form a committee. How many different ways can you do this?
I have to do a speech in my Public Speaking class where I have to convince my audience of something I feel strongly about. So I chose to talk about Vaccinations and why everyone should Vaccinate their kids and even all adults should be vaccinated. I was wondering if someone can help me come up with some strong points to talk about to help my audience convince them about how important vaccines are and why they are necessary to get....
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...
60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and C lands up...
3. Suppose my graph theory class has 12 different students, of which 6 are under- grads and 6 are graduate students. (a). How many ways can I choose at least 4 but no more than 8 of my students to take a field trip to the library? (b). I want to repeat part (a), but I want to be sure to take at least 2 undergrads. (c). I have 3 different final projects for them to work on (projects A,...
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and...
3 Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (ii) exactly one of B...
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and...