5. If a list of nine integers form a group under multiplication modulo 91, which integer is missing from the following: {1, 9, 16, 22, 53, 74, 79, 81}?

Q: 3. How many 4-digit positive integers are there that are even or contain no O's?

A:

Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

A: There are 5 digits that need to be used for required number formation. The number less than 150…

Q: 1. How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit?

A: A number is divisible by 5 if the last digit is either 5 or 0. We have to find the number of 5 digit…

Q: For the Venn diagram in Figure 2.4, suppose U = {integers}, N = {1, 2, 3, ...}, P = {p: p is prime},…

A: U=IntegersN=1,2,3,4,‐‐‐P=P:P is prime=2,3,5,7,11,13,17,19,23,‐‐‐F=1,2,3,5,8,-1,-2,-5

Q: 14) Out of 24 football players, how many ways can we choose a group of 11 to play in th O 960,166…

A:

Q: N/8 + 6 = 58; N equals: Group of answer choices None of these 416 521 512

A: The answer is given below

Q: 13. Is (Sn,) a commutative(abelain)? Is (Sn,) cyclic?

A: Solution is given as below :

Q: 16. How many 6-element subsets of A = {0,1,2,3,4,5,6,7,8,9} have exactly three even

A:

Q: Give the transpose of the permutation [2, 5, 1, 6, 3, 4], and find the number of inversions in both…

A: To find- Give the transpose of the permutation 2, 5, 1, 6, 3, 4, and find the number of inversions…

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: Without doing any calculations in U(27), decide how many subgroupsU(27) has

A:

Q: Is a permutation of one element considered to be an even permutation? For example, is (1) an even…

A: To clarify the notion of an even permutation

Q: 9. How many 8 element subsets are there in P({a, b, c, d, e, f, g, h, i, j, k, 1, m, n, 0, p})? 10.…

A: We have give a set of 16 elements. We have to get how many subsets which consists 8 elements.

Q: Suppose that in a particular Finite course, 5/14 of students plan on majoring in math, 11/42 plan on…

A: Given information- We have given the proportion of particular Finite course. P (Major in math) =…

Q: Show that we can partition 10 people into 5 groups of 2 people each in exactly 945 ways. Justify…

A: We have to prove the given answer.

Q: What is the largest order of an element in the group of permutations of 7 objects? O 1060 O 530 None…

A: Ans- None of these. Since the group of permutations of 7 objects is S7. And it's all possible orders…

Q: How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted…

A: number of ways in which A can be selected (2-9) = 8 ways  number of ways in which B can be selected…

Q: A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for…

A: We are given that A1, ... , A13 are thirteen different subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.…

Q: What is the largest order of an element in the group of permutations of 5 objects? O 5 6 O None of…

A:

Q: Give two reasons why the set of odd integers under addition is not agroup.

A:

Q: A) How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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

A:

Q: Consider lists made from L, a, T, e, X, with repetitions allowed. How many 4-lists are there in…

A: Please refer to the image below.

Q: WIKS the largest order of an element in the groupof permutations of 4 objects!

A: What is the largest order of an element in the group of permutations of 4 objects

Q: Which of the following numbers could be the exact number ofelements of order 21 in a group: 21600,…

A: According to theorem, the number of elements of order n in a group is multiple of ϕ(n)

Q: An event organizer is planning a programme for a group of 20 people who want to embark on a…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: In how many ways can 8 books be choosen from a group of nine?

A:

Q: A computer programming team has 9 members. (a) How many ways can a group of five be chosen to work…

A:

Q: In the set {0,1,2,3,4,5}, this is the additive inverse of 4 under addition modulo 6. What is the…

A:

Q: 10. If 4,42..a, is an element in a group, what is (4,az..a,) = ?

A:

Q: How many permutations of {1,2,3,4,5,6,7,8} have exactly 15 inversions?

A: Introduction: The permutation is {1, 2, 3, 4, 5, 6}. The inversion sequence of the given permutation…

Q: 4. In how many ways can a committee of 5 memebers be chosen from a group of 10 memebrs?

A: Given that, The number of members in the committee is 5. And the total number of members is 10. So,…

Q: 20 The set [20] contains = = 15504 five-element subsets. How many of them contain more odd elements…

A: There are 15504 five element subsets. The set of 20 numbers contains 10 odd and 10 even numbers. If…

Q: Discuss the important characteristic that a counting problem has to have in order to classify it as…

A:

Q: Show that the set {2/3, 1/3, 2/9, 1/6,...} is countable

A:

Q: Suppose that there are 27 students in discrete mathematics class. Show that the class must have at…

A: Here we solve this question by contradiction.

Q: What is the largest order of an element in the group of permutations of 5 objects? 60 O None of them…

A: What is the largest order of an element in the group of permutations of 5 objects?

Q: A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Since you've asked multiple parts questions, as per our answering guidelines we are supposed to…

Q: How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: What is the largest order of an element in the group of permutations of 4 objects?

A:

Q: 1. Show that 1105 is a Carmichael number.

A:

Q: If k, n are postive integers, with k<n, how many subsets of [n] are also not subsets of [k]?

A: Given k and n are positive integers with k&lt;n

Q: Suppose each license plate in a certain state has one digit, followed by four letters, followed by…

A: FORMAT of number = 9AAAA9 (1 number, 4 letters, 1 number) A license plate has six spaces to be…

Q: Prove that among any group of people, there are always two people with the same number of friends…

A:

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

A:

Q: How many three-digit numbers can be constructed from the digits 0, 1,2,3,4,5,6,8,9 if the number…

A: Given digits is0, 1, 2, 3, 4, 5, 6, 7, 8, 9Total no.of digits=10

Q: What is the largest order of an element in the group of permutations of 4 objects? Select one:

A: Given the permutation group S4 Largest/Maximum order is see the fig.1

Q: What is the largest order of an element in the group of permutations of 4 objects? Select one: O 4…

A: We will use the fact that the order of an element of a permutation group is the length of disjoint…

Q: 13 Identify the shaded asea of the venn diagram asing sef notation

A: I am going to solve the given problem by using some simple algebra to get the required result of.