Say I have 5 apple, 6 bananas, 7 oranges, and 8 peaches. I want to put them all in a single row and I care about the order of the oranges and peaches. How many ways can I arrange the single row with this criteria?

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Say I have 5 apple, 6 bananas, 7 oranges, and 8 peaches. I want to put...
You have 7 rock music CDs. 5 indie music CDs and 2 pop music CDs. How many ways can you arrange them? In how many different ways can you arrange them so that the CDs of the same type are continguous? Suppose that you want to give your rock music CDs to your friends. You want to give 3 to max, 2 to John and 2 to Alice. How many ways can you do that?
4 triangle box, 6 rectangle box, 3 square box, 8 books i) How many way can we stack all the item in to single stack? ii) we want single stack but we don't care about the order of triangle box and rectangle box. But we do care the order of square box and books. In this situation, how many way can we stack all the item in single stack? iii) How many way we can stack all the item in...
How many ways are there to distribute 8 identical apples, 6 oranges, and 7 pears among 3 different people.. Without restriction? With each person getting at least one pair? Please explain this well, and don't write it out in chicken scratch.
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,...
A combinatorics problem to get a classroom ready. Show all your work. a. I have 60 students and I'm going to give each one a single gumdrop. One is all you need. There are 6 flavors. How many possible ways can the students get their sugary candy? b. I have 16 identical white teacups. I hate white teacups! I am going to paint them. I can paint each one Ivory, Cream, Eggshell, Lace, Bone, or Vanilla. How many ways are...
6. A box contains 8 novels and 7 math books going to loan 6 books to a friend. How many different (a) You are book selections could your friend receive? going to loan 3 novels and 4 math books to a friend. How (b) You are many different book selections could your friend receive? (c) You are going to loan at least 13 books to a friend. How many different book selections could your friend receive? going to loan at...
6. (10 pts) What is the general form of the solution of a linear homogeneous recurrence relation if its characteristic equation has roots 2, 2, 3, 4, 4, 4, 4? 7. (10 pts) Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture. In how many ways can this be done if Ann and Ben must be in the picture but not standing next...
6. What does it mean for a reaction to have a - AG? 7. If reaction A has a AG° = -4 kJ/mole and reaction B has a AG° = -40 kJ/mole, which reaction is more product-favored? Explain your answer. 8. For the reaction 4C(s) + S:(s) = 4CS2(g) AH° = +359 kJ i) What is the sign of ASº for this reaction? What can you say about the sign of AGº for this reaction? How many kJ of energy...
7. How many oranges in $0.20/lb? O n the average, there are three oranges per the average,there ir the price of a crate is $1.60 and the price of oranges is 8. You're ht eat 4 slices. You call up the t each pizza will cost you $14.78 and will be cut into 12 slices. You tell throwing a pizza party for 15 and estimate each person mig pizza place and learn that pizza them you'll call back. How many...