25 Perform the mndi.cated -Computation Write the answer in scienh fic notation (4~10*/2.1

Q: It is known to be Q∼N.Show that QxQ∼N (prove power sets)

A: Solve the following

Q: 10. Show that if ACB, then rank(A) € rank (B).

A: Please find the answer in next step

Q: mbinations are possible? Assume the items are distinct. 7 ite

A: we need 7 items chosen 4 at a time therefore n = 7 x = 4

Q: Let P(n) be the assertion that: for any integer n 2 1, 7" - 1 is divisible by 6. Part 1 Part 2. In…

A: Principle of Mathematical Induction :Let P(n) be a statement .step 1 : For n=1 is true .step 2 : Let…

Q: Use permutations to solve. From a cooler with 6 different kinds of soda, 4 are selected for 4…

A: nPr = n!/(n-r)!

Q: O.1 EXPANDED NOTATION

A: the expanded notation means writing a number to show the value of each digit as the sum of each…

Q: The general combinatorial formula for the nth triangular number (1, 3, 6, 10, 15, 21, .) is On+1Cn…

A:

Q: p + 2 is a prime number, prove that p2+3 is divisible by 4. (2.5

A: Prime and divisibility

Q: 3. Let n be an integer, show that if n is even, then n is also even using indirect proof.

A: Given : Let n be an integer.   To show that if n2 is even, then n is also even.

Q: Using Fermat's Little Theorem find 52003 mod 455. Note that 455 is not a prime number and 455…

A: We are asked to use Fermat's Little theorem to find 52003 mod455. Fermat's Little Theorem states…

Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

A:

Q: Use induction to prove that 23n -1 is divisible by 7 for every natural number n. Clearly specify the…

A:

Q: (b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth…

A: b) Given there is a book whose ISBN is partially erased so that fifth digit cannot be read. ISBN:…

Q: A cosets of of 212 are اخترأحد الخیارات + 2, +1,.1 O + 1,.2 O + 4, + 1, .3 + 4, + 2, + 1 , .4 O

A: Cosets Definition: Let G be a group and let H is a nonempty subset of G. A left coset of H in G is a…

Q: i. fan is a multiple of 3. ii. fn+6 = 4fn+3 + fn.

A: I have given the proofs by mathematical induction

Q: WHAT IS THE THREE SIGNIFICANT FIGURE OF  6.202 eV

A: See answer below.

Q: 3. Consider the word PERMUTE and all the ways you can arrange its letter using each letter only once…

A:

Q: or an integer n>=3, an n-gon is an n-sided polygon. (example, a 3-gon is a triangle, 4-gon is a…

A: To prove: the sum of the interior anles of every polygon with n sides is n-2180° Now we shall take a…

Q: How many elements are there in the greatest conjugacy class of 5 ?S

A:

Q: Determine the number of primitive roots modulo 23.

A: Solution

Q: Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21,…

A: To find out the answers of the parts A, B and C.

Q: Convert (ABC)16 to octal (base 8) representation. Show all steps.

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

Q: Prove by Induction that for every natural number n, 3n-1 is a multiple of 2? Attach File

A: Introduction: Divisibility is a very important property in the set of integers. A number can either…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A:

Q: Show that n-lis divisible by 8, if n is an odd positive integer

A:

Q: How many different initials can someone have if a per son has at least two, but no more than five,…

A:

Q: 27. Determine the number of n-digit numbers with all digits odd, such that 1 and 3 each occur a…

A:

Q: 100 nd a number between 0 and 12 that is congruent to 2"modulo 13. Show your work.

A:

Q: How many bit strings of length 5 contain at least two 1s?

A: We first find number of bit strings of length 5 that  contain less than two 1s. (1) When there is no…

Q: Prove Osasb→0sVas15 Hint: Use proof by contradiction

A:

Q: Define a Proof

A: A proof can be defined as an evidence or data that is used to establish a hypothesis to be true . So…

Q: 93% of all dolphinesare cured of a particular bacterial infection. if 6 dolphines are treated and 3…

A:

Q: Find all prime numbers pand of for which 2p²q + 45 pp ² = y² 2 де

A: Given:

Q: One 12-digit binary code (leading zeros allowed) is randomly generated by a computer. What is the…

A: a

Q: 5) The threerdigit number is given. the sum of all taprede diffevent three digit num bers with same…

A: We have to use simple logics to solve the problem

Q: JsinsetI

A: We are authorized to solve only 1 question, please repost remaining  Domain and range of function

Q: k is a prime number that has a ones digit of 7 and 0 <k < 100, how many values of k are possible?

A:

Q: Let|a| = 32, the number of right cosets of (a²) in is:

A: Given          |a| = 32 Then, &lt;a&gt; = { a , a2 , a3 ,  .  .  .  , a32 = e } ,  where e =…

Q: State Fermat's Little Theorem. In the groun (7/1017)x find 5100 5101 and 5202 (101 is a prime…

A:

Q: 16. Determine the value of n in simplest form: 1" +i"

A:

Q: Find the sum and product of each of these pairs of numbers (20CBA)16 , (A01)16. Express your answers…

A:

Q: How many integers from 1 to 99,999 contain exactly two consecutive 1s?

A:

Q: How many positive integers between 100 and 999 inclusive a) are divisible by 7? b) are odd? c)…

A:

Q: Find th: units digitof 3" ++ 11* ", whe re e and n: arc: nan-npitve intrgers

A: To solve this question we need to find out unit digit of each term and then add these unit digits to…

Q: yields a true statement when n is replaced by any positive integer.

A: The above statement is true. Step-2 i explained in detailed explanation

Q: How many twin primes are there where both primes are less than or equal to 31? Number of twin…

A: Twin prime: If there is only one composite number between two prime numbers, then that two numbers…

Q: How many Gaussian integers have norm 3² . 52. 72 . 294? Try to count them without doing a lot of…

A: To determine how many Gaussian integers have norm 32·52·72·292 Let α=a+ib be an arbitrary Gaussian…

Q: Every natural number n > 2 cam be writtenn = PiP2 Pr as the ... product of distinct prime numbers…

A:

Q: Suppose that n students take a quiz and their scores sum to 150. What is the smallest number n to…

A: Pigeonhole Principle: The pigeonhole principle states that if n items are put into m containers with…

Q: What is the modulus and argument of 3i.

A: Let z be a complex number then, z is written as z=x+ιywhere x and y are real numbers.We have to find…