12 11 10 8. 2 (4, 1) -12-11-10-9-8 -7 -6 -5 -4 -3/2 -1 1 2 3 4 5 7 8 9 10 11 12 -2 8-4). -5 -6 -7 -8 -10 -11 -12 e here to search 543 N

Q: 25. Let W=-+-+-12 + 6+ ... 6 8 10 16 Let Q=--+-12-16+(10-20- Notice that Q is a rearrangement of the…

A:

Q: A stack of 10 cards numbered 0, 1, 2,.....,9 in some order lies face up on a desk. form a new stack…

A: Given: There is a stack of 10 cards numbered 0, 1, 2,.....,9 in some order lying face up on a desk.…

Q: Prove that for all integers n.4n² +6n + 1 is not divisible by 4. Be sure to explicitly show how each…

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Q: ise 4. Consider the following permutations in S9 1 2 3 4 5 6 7 89 (1 2 345 67 89 = and T= 3 5 214 6…

A: See the detailed solution below. Due to bartleby policy, only 4 parts are solved.

Q: The easiest way to evaluate 2 8 5 -4 3 5 7 0 is to expand about the elements in -6

A: A square matrix is a matrix whose number of rows and columns is the same. Determinant can be…

Q: Consider the permutation (1 2 3 4 5 6 \3 4 5 6 1 2 7)* 1. Express as a product of disjoint cycles.…

A: Given Permutation: 12345673456127

Q: THEOREM 2.4 The number of distinct permutations of n things of which n1 are of one kind, n2 of a…

A: Given: Theorem 2.4 and Theorem 2.5

Q: 3.1. Observe that 1 = 1 1-4 = -(1+ 2) 1– 4+9 = 1+2+3 1– 4+9–16 = -(1+2+3+4) 1-4+9– 16+25 =…

A: Two questions are there in the given question. So according to Bartleby, the solution to the first…

Q: Example 3 A play has a cast of 7 actors preparing to make their eurtain call. Use the permutation…

A: A play has cast of 7 actors preparing to make their curtain call.Use the permutation formula to find…

Q: 2 3 4 5 1 3 5 (1 2 3 4 5 Consider the permutation 12 4 2. 3 4 1 1. Express as a product of disjoint…

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Q: Prove that (n – 1) +n° + (n + 1)° is divisible by 9 for n E {1,2,3, . }

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Q: (3) What is the order of (8,2, 5) in group Z12 × Z6 × Z7. (For this question, I don't need a strict…

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Q: 3. Give combinatorial proof of a k (") = n () k-1

A: We know that the combination formula: C(n,r) = n!/(n-r)!r!

Q: Express the permutation (2 4 5)(1 3 5 5)(1 25) as a single cycle or as a product of cycles.

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

Q: 4. Let, a, = 1, az = 2, b, = 0, b2 = 1, for n 2 3, an = 2an-1+ bn-1 for n 22 bn = bn-1+ an-1 express…

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Q: Pretend that in a certain city the number of new cases of COVID was reported to be 800 new cases on…

A: Given that the number of cases on Sunday is 800. It increases by 15% on Monday, then it increases by…

Q: Use the method of Example 9.5.10 to answer the following questions. (a) How many 15-bit strings…

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Q: SHOW THE FULL SOLUTION OF THIS PERMUTATION 3!

A: Given3!

Q: 4. Let, a1 = 3, a2 = 4 and for n ≥ 3, an = 2an-1 + an-2 + n2 , express an in terms of n.

A: As per guidelines we should able to do only one question at a time because both questions are…

Q: 1. Find the number of strings of n (not necessarily different) lower case letters from the English…

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Q: 8. The Laurent's expansion of (2² – 1) (2² + 4 for |z|<1 is 5z2 2125 1). 4 64 16 2) + 21 4 4 4 3) -…

A: None of the option 1,2,3 and 4 is correct. Please check it.

Q: Suppose n is a natural number greater than 100. Alex and Jerry each compute the gcd(4n, 20n2 + 15)…

A: Given that n is a natural number greater than 100. Alex and Jerry computed the gcd4n,20n2+15 and got…

Q: 7. For every integer n z 1, n(5n – 3) 1+6+11+16++(5n– 4) 2

A: Solution is in step 2

Q: 2. A group contains k men and k women, where k is a positive integer. How many ways are there to…

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Q: QUESTION 9 Select an appropriate formula to calculate the number of described permutations and…

A: Permutation: It is the arrangement of all the members of a set into some sequence or order.…

Q: 11.7.4 Select the correct choice that completes the sentence below. The formula for the number of…

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Q: 17 Let n = 11 1 Find n + 1 * n + 1

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Q: Let ak = 4k + 2 and b, = (k – 1)3 + 3k + 3 for every integer k 2 0. What are the first five terms…

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Q: What is the coefficient of bº in the expansion of (6 -2b)17 O a. -C(17,8)* 29* 68 O b. C(17,8)* 2* 6…

A: Suppose we have binomial expression a+xn .Then ; For n∈ℕ , a+xn=∑r=0n Cn,r an-rxr . Total number of…

Q: An n×n magic square is a square array of numbers (n > 1) such that the sum of every row, of every…

A: Given a n×n magic square

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

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Q: 3. Prove that when you select n+1 numbers from {1,2,...2n} two of them Must be consecutive (that is,…

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Q: Compute the following: N!(N-4)!

A: Note that n!=n×n-1×n-2×…×3×2×1. Consider the given expression N!N-4!. This can be written as…

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

A: Given: There are 7 letters A, B, C, D, E, F, G

Q: Prove that 1 1 1 + 9.11 - 8 1.3 5.7

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Q: Find the order of symmetrie gronp S:

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Q: Use the method of Example 9.5.10 to answer the following questions. (a) How many 15-bit strings…

A:

Q: 1. Pretend that in a certain city the number of new cases of COVID was reported to be 200 new cases…

A: The number of new cases on sunday = 200 Increment of cases on monday = 22% Deduction of cases on…

Q: Make a table of values of the numbers 10n – 1 and 10n + 1 for 1 <n < 20. Circle any numbers that are…

A: We know that if a number k is divisible by m   Then  There exists a natural number n such that k=nm

Q: 1. A restaurant offers a meal consisting of one of the three entrees and one of four desserts at a…

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

Q: 6.2.2 Show that if there are 30 students in the class, and at least 2 have a last name that begin…

A: Consider the provided statement that there are 30 students in a class then at least two have last…

Q: 1. а) Suppose that fis defined recursively by: f(0) = 5 and f(n+1) = 2 fin + 5. Find (1). A2). A3)…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: 5. Suppose we have an enumeration of A ao, a1, A2, ·.. (1) without repetitions (i.e., all the a; are…

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Q: Compute the indicated products involving the following permutations of Sz : 1 2 3 4 5 1 2 3 4 5 o =…

A: See the detailed solution below.

Q: 74. P is a natural number of at least 6 digits and its left- most digit is 7. When this leftmost…

A: Introductions :

Q: 1. Pretend that in a certain city the number of new cases of COVID was reported to be 200 new cases…

A:

Q: face the top card face up in your hand place the second card faceup under the first card place the…

A: Given,  A stack of 10 cards numbered 0,1,2,3...9 in some order lies face up on a desk form a new…

Q: The location of 1.68 on the number line is between hash marks 1.6 and 1.7, and it is closer to 1.7.…

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Q: 4. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2+n², express an in terms of n. 5. Let, a1 = 1,…

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Q: 8. Prove by mathematical induction for n = k+1 1 1 + 5.6 1 1 ...... 4.5 6.7 (п+3)(п+4) 4(n + 4)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.