b) If a collection of objects consists of r, identical objects of type I, r, identical objects of type 2, r, identical objects of type K; where r,+r,+ r,n then prove that the total number of different n! arrangements of these n objects is

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A: (a)  Let x acres of honeydews, y acres of yellow onion and z acres of lettuce According to given…

Q: Given the following results of the height and weight of 1,000 men students : 3=68", X-150 lbs, 960,…

A:

Q: There are some apples and oranges in a fruit basket. If Eve eats 2 apples, the number of apples left…

A: Let x be the number of apples and y be the number of orange inthe fruit basket.

Q: Influenza Influenza Red Death Red Death (200 pop.) (900 pop.) (200 pop.) (900 pop.) Death Toll 1 26…

A: Note: Hey there! Thank you for the question. As per our understanding, we have assumed that 200 pop.…

Q: *+2x, +3x, =-1 2x+5x, +7x = -2 - 2x -4x, -5x, = 0 %3D

A: system Ax=b is augmented matrix is

Q: 3. Art has a 10% solution of alcohol and a 40% solution of alcohol. How much of each does he need to…

A:

Q: Identify each step in Poyla’s Four Step process for Problem Solving.

A: Polya created his famous four step process for problem solving.

Q: i need both problems solved not just one

A: (1).Purchased value of the car is:  P=$23000After every year the value of the car is decreased by…

Q: The sales of a company rose from dollar 30,000 in the month of February to dollar 35,000 in the…

A: Solution is given:

Q: An octane number of 89 on gasoline means that it will fight engine “knock” as effectively as…

A: Let's assume in the fuel mixture of 1 gallon with octane number 92; we need x fraction of gasoline…

Q: study shows that the fewer the number of wolves in a rural area (Y), the more farms there are in the…

A: From the given information we find the conclusion.

Q: Al-Jazeera Company pays to Mr. Ahmed a monthly salary of OMR 1,800 plus a 4% commission for sales…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A man invested $20,000 in the bank. A part of it was invested at 5% and the rest at 10%. The total…

A:

Q: If a bathtub comfortably holds 30 gallons of water and a shower produces 2 gallons of water per…

A:

Q: A mixture of 30 liters of paint contains 25% red tint, 30% yellow tint and 45% water. When 6 liters…

A: Where we use the concept of ratio

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A: The objective of the question is to calculate the number of police officers needed in Maple County…

Q: A total of $11,000 is invested in two different accounts. The first account at 6.5% simple interest…

A: Given problem:- A total of $11,000 is invested in two different accounts. The first account at 6.5%…

Q: You are at a baseball game and bought food for you and your friends. Hot dogs cost $1.50 each and…

A: We are given that Hot dogs cost $1.50 each and chips are $0.75.  We spent $20.25 total and got a…

Q: e) Can Jimmy's dietary requirements be met by using only one of the cereals? Explain your answer. g)…

A: We will Formulate the LPP and solve it using graphical method.

Q: A psychologist would like to examine how the rate of presentation affects people’s ability to…

A: Given information: The data represents the number of errors in recall for the 4 groups ½ second, 1…

Q: Obama and Osama are friends for the last four decades. Osama’s car was recently destroyed by fire…

A: Mr Obama can make both of them discuss and can be negotiate with Osama that the amount is too low…

Q: I cannot see the full solution for this question, and would like to better understand the…

A: We can solve this as follows:

Q: (a) When solving first-order PDEs, why did we use a change of variables? That is, why does this help…

A: Often a partial differential equation can be reduced to a simpler form with a known solution by a…

Q: The shortage of organs for transplant is a continuing problem. At the end of 2000, there were 3816…

A: Given that the data The shortage of organs for transplant is a continuing problem. At the end of…

Q: About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and…

A: Let us assume Samuel's paycheck is $100. Then find the remaining after the deductions and convert it…

Q: I am a brazen lion, a fountain; my spouts are my two eyes, my mouth, and the flat of my right foot.…

A: Given, Spouts: two eyes, mouth, and the flat of my right foot [1day=12hours] Right eye fills jar in…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.