How many ways can n books be placed on k distinguishable shelves a) if the books are indistinguishable copies of the same title? b) if no two books are the same, and the positions of the books on the shelves matter?

Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: 3.) On the number line below, point P represents -6 and point Q represents 6. Which statement is NOT…

A: Representation of real line

Q: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

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Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1.) Perform the indicated operations   A.)     i 2 + i 3 + 4    B.)      i 1997 + i 1998  + i 1999…

A: Note "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Find the greatest common divisor (a, b) and integers m and n such that (a, b) = am + bn. a = 65, b…

A: a) The objective of the question is to find the gcd of two numbers and also to represent the gcd as…

Q: Using only the letters a, b, c, and d, determine how many of the following can be obtained: (a)…

A: Given: that letters a,b,c and dTo find : Ordered tuples

Q: 1-In which condition the LCM  of two numbers is one of the numbers? Give an example? 2-In which…

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Q: Suppose that S and T are points on the number line , ST = 17 and S lies at 4, where could be located…

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Q: ex: Find the number of wolds of length 3 thet Can be written using the lettels A, B, GD and E Such…

A: There are total 5 letters and we have to make words of length 3 using this letters.

Q: In a stack of cards, each card has a number and letter on opposite sides. You are told that all…

A: Each card has a number and a letter on opposite sides. Any number that is even as well as divisible…

Q: Consider the table below: 3 6 2 5 15 236 I 523,6 ii) 10 21 0,015236 33 122 a) Fill in the missing…

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Q: 7. Write as mathematical sentences. a.) Eight less than ten is two. b.) Seven is an odd number. c.)…

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Q: In how many distinguishable ways can the letters of the word DECREED be arranged?

A: Given letter is DECREEDLetter "E" has repeated 3 timesLetter "D" has repeated 2 timesTotal no. of…

Q: Find all natural numbers m and n with properties GCD(m,n) = 8 and LCM(m, п) — 168. %3D

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Q: where P =n+p+h is the total population, and a and b are some real numbers (which you do not need to…

A: We are given the following information. The population has been divided into three categories:…

Q: iv C = {1,2, 3} v How many elements are in the powerset of N = {1,2, 3,... ,n} for some n E N?

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Q: 2.) Find all possible digits that can be pl 1,182,1_4 a.) Divisible by 4 Your answer

A: Given digit is : 11821_4 To find all possible digit that is divisible by 4.

Q: a) Find all the possible values of 25-21

A: To find the value of the complex number

Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: 1) Associative property of addition (8+2)+4=8+(2+4) 2) commutative property of addition…