Let A = {1, 2, 3,..., 10}, and B = {1,2,3, ..., 7}. How many functions f:

Question:

Let A = {1, 2, 3,..., 10}, and B = {1,2,3, ..., 7}. How many functions f: A → B satisfy |f(A)| = 4? How many have |f(A)| ≤ 4?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:37 AM

See More Questions

Let A = {1, 2, 3, 4, 5} and B = {t, u, v, w, x, y, z}. (a) If a function f: A B is randomly generated, what is the probability that it is one-to-one? (b) Write a computer program (or develop an...
Let A = {1, 2, 3, 4, 5, 7, 8, 10, 11, 14, 17, 18}. a) How many subsets of A contain six elements? b) How many six-element subsets of A contain four even integers and two odd integers? c) How many...
(a) Let R be the relation on A = {1, 2, 3, 4, 5, 6, 7}, where the directed graph associated with R consists of the two components, each a directed cycle, shown in Fig. 7.14. Find the smallest integer...
If there is a decrease in the demand for Canadian dollars relative to U.S. dollars, a. The price and quantity of Canadian dollars traded will fall. b. The price and quantity of Canadian dollars will...
You may have noticed that one of the most frequently offered product categories online is pharmaceuticals. However, the number of physical pharmacies, such as CVS, Rite Aid, and Target, continue to...
The rectangular plate, with a mass of 3 kg and a uniform small thickness, is welded at the 45 angle to the vertical shaft, which rotates with the angular velocity of 20 rad/s. Determine the angular...
Derive the solutions for transient concentration profiles in the two-bulb apparatus (Example 21.5 in the text) for the binary case, and show that the multicomponent case can be derived as an...
Go-for-Broke Company is being liquidated under Chapter 7 of the bankruptcy code. When it filed for bankruptcy, its balance sheet was as follows: *All accrued wages must be paid out of the liquidation...
You want to begin saving for your daughter to go to graduate school at Oklahoma starting 10 years from now. You expect that you will need to make tuition payments of $3.000 per month for the two...
A firm whose shares are trading at 2.2 times book value is forecasted to earn a return on book value of 15 percent next year. Calculate the expected return to buying this stock for the following...
In how many ways can one arrange the letters in CORRESPONDENTS so that (a) There is no pair of consecutive identical letters? (b) There are exactly two pairs of consecutive identical letters? (c)...
In how many ways can one distribute ten distinct prizes among four students with exactly two students getting nothing? How many ways have at least two students getting nothing?
Consider a gasoline engine for a car as a steady device where air and fuel enters at the surrounding conditions 25C, 100 kPa and leaves the engine exhaust manifold at 1000 K, 100 kPa as products...
What would happen when trying to measure voltage but put the Multimeter in series with the device we measure? Why do you think this happens?
Given the function f, defined by f(x)=3x+2x-4, find f(x + a).
Consider the following pseudo-code: Algorithm FibCache Inputs: n, an integer >= 0 C, an array of integers Output: the nth Fibonacci number (and possible changes to C) 1 if capacity(C)
Do you think there is a difference when Bitcoin is mined using energy from hydroelectric power (dams) rather than coal-powered plants. Explain?
OVERVIEW:No matter what you study or pursue in life, effective communication in writing is an important skill. Understanding how to write can help you tell stories, analyze situations, gather...
Selected balance sheet and income statement information from Siemens, AG, for 2015 through 2017 follows( millions). a. Compute the current ratio for each year and discuss any trend in liquidity. Also...
How can you tell from the vertex form y = a(x - h) 2 + k whether a quadratic function has no real zeros?
Give examples of homogeneous systems of m linear equations in n variables with m = n and with m > n that have
In Exercises 1 and 2, find the line of intersection of the given planes. 1. 3x + 2y + z = - 1 and 2x - y + 4z = 5 2. 4x + y + z = 0 and 2x - y + 3z = 2
(a) Give an example of three planes that have a common line of intersection (Figure 2.4). Figure 2.4 (b) Give an example of three planes that intersect in pairs but have no common point of...
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $45,300. The machine's useful life is estimated at 10 years, or 403,000 units of...
14. (3 points) Write a program that ask the user for 1. their first name and 2. their last name, Enter first name: Matt Enter last name: Priem Hello Matt Priem! and then outputs a greeting similar to...
Given a sorted array 2, 5, 8, 12, 16, 18, 22, 25, 29, 32 and the following interpolation search algorithm. Show the steps of the algorithm when 25 is searched. Also, when 26 is searched. array a,...

Let A = {1, 2, 3,..., 10}, and B = {1,2,3, ..., 7}. How many functions f:

Question:

Step by Step Answer:

For 1 i 7 let c i denote the condition tha...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions