A student has 3 math books, 4 history books, 2 chemistry books, and 1 Latin book....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A student has 3 math books, 4 history books, 2 chemistry books, and 1 Latin book. He wants to arrange them on a bookshelf. a. If all the books have different titles, in how many distinct ways can he arrange them? b. Throughout parts b-e, assume that all the books from a particular topic have the same title (for example, 3 indistinguishable copies of "Calculus" by Carey). In how many distinct ways can he arrange his books? c. If he groups the identical math books together, and he groups the identical history books together, and he groups the identical chemistry books together, in how many distinet ways can he arrange his books? d. If he groups the identical history books together (but isn't picky about the other books), in how many distinct ways can he arrange his books? e. (Again assume that the books of each subject are identical) what is the probability that none of the history books are together? A student has 3 math books, 4 history books, 2 chemistry books, and 1 Latin book. He wants to arrange them on a bookshelf. a. If all the books have different titles, in how many distinct ways can he arrange them? b. Throughout parts b-e, assume that all the books from a particular topic have the same title (for example, 3 indistinguishable copies of "Calculus" by Carey). In how many distinct ways can he arrange his books? c. If he groups the identical math books together, and he groups the identical history books together, and he groups the identical chemistry books together, in how many distinet ways can he arrange his books? d. If he groups the identical history books together (but isn't picky about the other books), in how many distinct ways can he arrange his books? e. (Again assume that the books of each subject are identical) what is the probability that none of the history books are together?
Expert Answer:
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
Students also viewed these mathematics questions
-
In how many distinct ways can we 3-color the edges in the configurations shown in Fig. 16.11 if they are free to move in (a) Two dimensions; (b) Three dimensions?
-
Assume that all the division managers do overstate cash flow projections in their proposals. What would you do if you were recently promoted to division manager and had to compete for funding under...
-
(a) In how many distinct ways can we 3-color the edges of a square that is free to move in three dimensions? (b) In how many distinct ways can we 3-color both the vertices and the edges of such a...
-
Hewlett-Packard announced in early 1999 the spin-off of its Agilent Technologies unit to focus on its main business of computers and printers. HP retained a controlling interest until mid-2000, when...
-
Identify four problems a researcher might find while screening questionnaires and preparing data for analysis.
-
Apply the superposition principle to find vo in the circuit of Fig. 4.82. 6 612 2 A 4 2 20v
-
The town of Commuter Park operates a private parking lot near the railroad station for the benefit of town residents. The guard on duty issues annual prenumbered parking stickers to residents who...
-
The following transactions were completed by Millenial Toy Co. during 2011: Mar. 1 Purchased real property for $829,700, which included a charge of $29,700 representing property tax for March 1June...
-
Vincent has also been working with Jennifer to sell her rental property and to buy a new house in a nearby suburb. Vincent's real estate agency manages the property on behalf of Jennifer and collects...
-
The following tables show the domestic supply and demand schedules for bushels of flaxseed (used as an edible oil and a nutrition supplement) in the United States and Kazakhstan, with prices measured...
-
4. Assume that Live Co. has expected cash flows of $100,000 from domestic operations, 100,000 Swiss francs from Swiss operations, and 50,000 euros from Italian operations at the end of the year. The...
-
You are the production manager at a pharmaceutical manufacturing company in Malaysia. The company is determined to improve its demand forecasting methods and explore different approaches to achieve...
-
Find the "Degrees of Freedom" in each of the following cases: ww 7 (a) (c) 6 BO 5 3 E 2 Spring 2 (b) (d) PIN 6 7 SLIDER S
-
On January 1, 20x6, Colemont Corporation issued 4 percent, five-year bonds having a face value of $1,000,000 for $915,480. The bonds were dated January 1, pay interest annually on January 1, and were...
-
4. In many ways, cache memory and virtual memory are similar. But their purposes are different. For example, cache memory is for decreasing effective access time and virtual memory is for increasing...
-
Consider monthly demand for the ABC Corporation as shown in Table 7-3. Forecast the monthly demand for Year 6 using moving average, simple exponential smoothing, Holt's model, and Winter's model. In...
-
Using the relation ds = (5Q/Tint rev for the definition of entropy, calculate the change in the specific entropy of R-134a as it is heated at a constant pressure of 240 kPa from a saturated liquid to...
-
Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. 6 in. 9 in. 9 in- 4.5 in. in. 4.5 in.
-
Pamela has 15 different books. In how many ways can she place her books on two shelves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next...
-
(a) Prove that f O(f) for all f: Z+ R. (b) Let f, g: Z+ R. If f O (g) and g 0(f), prove that 0(f) = 0(g). That is, prove that for all h: Z+ R, if h is dominated by f, then h is dominated by g,...
-
Prove or disprove: If m, n are positive integers and m, n are perfect squares, then m + n is a perfect square.
-
Explain the significance of the microscopic and macroscopic approaches to the study of thermodynamics.
-
Why is the thermodynamic process also called cyclic process? Explain with suitable example.
-
Define isothermal, isochoric and isobaric processes with suitable examples.
Study smarter with the SolutionInn App