1. How many one-one functions are there from a set with m elements to a set with m elements?2. We want to choose a leader and a Co-leader from a class with 25 C.S. Major students, 30 Math majorstudents, and 10 Economy major students. The leader is supposed to be a C.S. student or a Mathstudent and the co-leader is supposed to have economy major. In how many different ways can weselect these two people from the class?

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Answered: 1. How many one-one functions are there…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

Find a possible function f ( n ) from the set of natural numbers to the set of natural numbers that corresponds to the sequence 7, 11, 15, 19, ... . Then find the sum of the first 20 terms of that sequence.
Let A={5,10,15,20, 25} and a partition of A be: {5,25},{10, 20} , {15} (a) Write all pairs of the relation associated with the partition.
Which of the following sets spans R? None of these {(-3,0,2)} O {-3,0,2),(5,1,0),(0,-1,1)} O ((-3,0,2).(0,0,0)}
For the set A = {2, 3, 4, 5, 6, 7, 8), relation R defined by R = {(x,y) = AxA | x divides y} Answer the following: What is the Domain and Range of Relation R? Domain = {2,3,4] and Range = {4,6,8) Domain A and Range A Domain A and Range = A' (or A-Compliment) Domain A and Range = A Draw Arrow, Matrix and DiGraph diagrams for the Relation R. 3 diagrams total. legibly, and upload a clear photo.
Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether FUNCTION or NOT FUNCTION. a) R = {(1,C), (2, A), (3, D), (2, B), (4, E)} b) R = {(1,A), (2, A), (3, D), (4, E)}
2
This question confuses me, I dont get what is being asked? How do I approach this? "Let A be a nonempty set and let B be a subset of the power set P(A) of A. Define a relation R from A to B byxRY if x ∈ Y. Give an example of two sets A and B that illustrate this. What is R for these two sets?"
Teachers get courses assigned to teach each semester. For each instructor, there are the courses that the instructor can teach based on the skill set of the instructor, and there are courses that the teacher would rather teach all the time, closer to their specialization. To be able to teach in any department, a teacher must be able to teach more than the favorite courses. Let X denote the proportion of teachers who teach the whole spectrum of courses taught in a department, and Y the proportion of teachers who teach the courses they specialize in. Let X and Y have the joint density function : f(x,y)=2(x+y),0<y<x<1 (a) Given that 10% of the teachers teach the whole spectrum of courses, what is the probability that fewer than 5% teach their favorite courses? (b) What is the expected percentage of teachers teaching their favorite courses when the proportion of teaching the whole spectrum is 0.7?
List all the ordered pairs in the relation R = {(a, b)| gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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