Show that for n attributes A1, A2, A3, ..., A, (Aj A2 Az ... A, ) 2( Aj ) + ( A2 ) + ( A3 ) + ... + ( A, ) – ( n-1)N

Q: A fleet of nine taxis is to be dispatched to three airports in such a way that two go to airport A,…

A: Given, A fleet of 9 taxis is to dispatch to the three airports A, B, and C also, 2 go to A, 6 go to…

Q: How many permutations of a set five distinct objects taken three at a time are there?

A: Given:-                 How many permutations of a set five distinct objects taken three at a time…

Q: (Assume that in a university with 1000 students. 200 students are taking a course in mathematics,…

A:

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

Q: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

A:

Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: If there is 1 person in a room and no one shakes his or her hand, and then someone else enters the…

A: Let n be the number of persons in the room.

Q: discrete

A: Let a and b be the integers.It is given that if a|b or a divides b then a2 must divides b2 that  is…

Q: Suppose that 11 children collected 50 books. Prove by contradiction that at least two of them had…

A: In mathematics, proof by contradiction is a method of proving something by assuming opposite of what…

Q: A US study concluded that following 7 simple health rules can extend a man’s life by 11 years on the…

A: a)Since, 5 out of 7 rules are to be adopted and the order of adoption is not important. Then, the…

Q: How many sets of are in 2-½?

A:

Q: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

Q: How many subsets of S do not contain any upper case letters?

A: given set S=A,B,a,b,c,d,1,2,3,4 claim- to find how many subsets of Sdo not contain any upper case…

Q: 1| A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: Suppose there seven people at a party. Is it possible that everyone at the party knows exactly three…

A: It is not possible. Imagine constructing an acquaintance graph in which each of the 7 people are…

Q: (a) How many ways are there to distribute seven identical apples and six identical pears to three…

A: Given: To distribute seven distinct apples and six distinct pears.

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: how many different ways can a new car be ordered with regard to these​ options?

A: Here use combination for no.of different ways of new car can be ordered

Q: 2. Let, a, = 3, az = 4 and for n 2 3, a, = 2a,-1 + an-2+ 5, express a, in terms of n.

A: Topic:- series sum

Q: A person can order a new car with a choice of 6 possible​ colors, with or without air​ conditioning,…

A: Solution :-

Q: 6. Show that for n attributes A, A2, A3, ..., An (A, Az Az ... A, ) > ( A, ) + ( A2 )-(A3) + ... + (…

A:

Q: n a party of 6 persons, prove that either three of them will be mutual friends or three will be…

A: To prove that in a group of 6 people, either three of them are mutual friends or three are mutual…

Q: Eleven graduate students have applied for two available teaching assistantships. In how many ways…

A: In this problem order for the selection is not mentioned therefore we can use combination for award…

Q: Suppose that A= {a,b,c,d} Then |A| =.?

A: Let X be a set , then X be number of elements in set X

Q: Number theory

A:

Q: 1) A committee of 5 is to be selected from a group of 7 men and 6 women. How many different|…

A:

Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

A: Factorial Rule: The total number of ways n different objects can be arranged where the order of the…

Q: 1. Let, a, = 3, az = 4 and for n 3, a, = 2a,-1+ an-2, express a, in terms of n.

A:

Q: Let [A1, A2. [B1, B2, C1, C2 be 3 married couples who attended a concert in Windhoek. a) In how many…

A:

Q: Find the number of ways in which a committee of ilher A or B but not both must be a member of the…

A: Combination is a tool of selecting the n items from the m choices. Always n is smaller than or equal…

Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…

A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…

Q: so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both…

A: Consider as S and T as one letter. So now the total number of English alphabet which needed to…

Q: How many subsets of set S = {1, 2, 3, 4, 6} do not contain odd numbers? Use bijection to solve this…

A: Solution S={1,2,3,4,6}

Q: 2.    If SSbetween = 30, SSwithin = 40, dfbetween = 3, and dfwithin = 20, then F = ______.

A: Calculation:From the question you have posted, it can be assumed that the values relate to an…

Q: 2 Form the first differentins etuntish of

A: Given equation is ey=sinx.

Q: In a set of eleven elements, two subsets A and B shall be determined, such that A contains 6…

A: Let U denote the set of eleven elements,  A is subset of U containing 6 elements and B is the set…

Q: 2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages, 216 eat between…

A:

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: A California study concluded that by following 7 simple health rules a man's life can be extended by…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: Prove that out of 14 people either there are three, each pair of whom are acquainted, or there are…

A: Suppose there is a person A among the 14 people. Look at the following representation, where the…

Q: 2. Suppose that a password for a computer system must have at least 8, but no more than 12,…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: suppose that five service customers need service call and the maintenance worker can only service…

A:

Q: If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must be…

A: The total given sophomores are 8 and 5 are the freshmen. Committee of members will be formed by 5…

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A: Given, The probability that the students are freshmen is pf=0.30 The probability that the students…

Q: See picture

A: It is given that there are 10 different computers, 9 different monitors,7 different printers are 4…

Q: In a survey of 500 students in the university, 200 are enrolled in Math 10, 180 are enrolled in Kas…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…