Specify the sets by roster. (a) {Counting numbers containing only 9s} (Enter only the first four values of this set.)       (b) {Odd counting numbers between 8 and 18}

Q: How many different passwords of 4 characters can be made using the numbers from 0 to 9 and the…

A: A password of four characters is to be made using the numbers from 0 to 9 i.e. 10 digits and the…

Q: How many distinct ten-digit passwords are possible if you must use at least one 26 lower case letter…

A: Given: you must use at least one 26 lower case letter from {a, b, . . . , z}, at least one 26 upper…

Q: How many symbols of 3 different orders greater than 3 700 can be formed from the set of numbers {…

A: Combination : A combination could be a mathematical technique for scheming the amount of potential…

Q: How many strings of length 5 can be formed if the alphabet (set of available characters)is {a,b,c}…

A: When there are nth places and m elements. With repetition, the choice of 1st place will be m, the…

Q: Queen chooses sixteen different numbers from the set {1, 2, 3,..., 25, 26}. Prove, or disprove, that…

A: There are total 26 numbers in the set  {1, 2, 3,..., 25, 26}. Also the queen chooses 16 different…

Q: Determine the number of natural numbers less than 700 that can be written using the digtits 5,6,7,9?

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Q: ive distinct integers are to be chosen from the set {1,2,3,4,5,6,7,8} and placed in some order in…

A: Given: To find the number of possible ways in which integers can be chosen,

Q: 17. It assumes an infinite number of possible values including the decimal between two counting…

A: #17 Here we have given the multiple choice question about the random variable. There 2 types of…

Q: Suppose a set of 8 numbers are selected from the set: {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}…

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Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is  {1,2,3,4,5,7,8}  and the range of numbers is 10 to 800. There would be 2…

Q: Specify the sets by roster. (a) {Counting numbers containing only 6s} (Enter only the first four…

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Q: How many three-digit numbers can be formed from the numerals in the set {1, 2, 3, 4} if the…

A: Given digits are 1, 2, 3, 4 i.e, there are 4 different digits

Q: How many four​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6, 7, 8​} if…

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Q: 1. The set of counting numbers greater than -1 and less than 9 2. The set of integers satisfying X -…

A: Roster method is to express the set in terms of flower brackets, for example to write the set of…

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3,..., 101} have a sum that is…

A: Since you have posted multiple questions and we can answer one question. So answer provided for the…

Q: How many four​-digit numbers may be formed using elements from the set ​{1, 2, 3, 4, 5, 6, 7​} if…

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Q: How many 5- digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if repetitions of…

A: Givendigits = 0,1,2,3,4,5,6,7,8,9No.of digits =10

Q: (9) Number of ways to scoop two unordered pairs from a set of 10 different elements. Assume no…

A: Let there are n distinct elements a1,a2,a3, . . . . . . . an And two set A and B, they should be…

Q: Specify the set by description. {10, 20, 30, . . . , 90} {multiples of 10 between 0 and…

A: Given set is: 10, 20, 30, ......, 90

Q: Four digit numbers can be formed from the six digits 2, 3, 5, 6, 7, and 0. If repetitions are not…

A: here given , 4 digit number can be formed from the six digits 2,3,5,6,7 and 0 4 digit number can be…

Q: Specify the sets by roster. (a) {Counting numbers containing only 2s} (Enter only the first four…

A: Given that the counting numbers.

Q: Write the set of natural numbers greater than 16 using the most concise method.

A: We need to write the set of natural numbers greater than 16 using most concise method. We know that…

Q: How would you write the set Q({∅,{∅,{∅}}}) in list notation?

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Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

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Q: Specify the sets by roster. (a) {Even counting numbers less than 18}       (b) {Positive…

A: Listing the elements of a set in the braces {} is called the roster form.

Q: How many 5-digit numbers can be formed using the numbers 0, 1, 2, ….9, such that: Repetition is…

A: There are 10 digit available from 0 to 9. To construct a 5 digit number , the first digit always…

Q: A PIN-number for a credit card consists of a sequence of 4 digits chosen from the set…

A: Given the set {0,1,2,3,4,5,6,7,8,9} We find the 4 digits different PIN number

Q: Specify the sets by roster. (a) {Distinct letters in the word tote}         (b) {Counting numbers…

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Q: 11. Discuss briefly using significant word why it might be difficult to describe "a collection of…

A: Given that: 11. A collection of numbers.   NOTE: As per our answering guidelines, we can only answer…

Q: What is the set N of all natural numbers?

A: Set of all integers: ℤ={.......,-3,-2,-1,0,1,2,3.......} Set of all positive integers…

Q: { n ∣ n ∈ N and 405 < n ≤ 437} H has --------  subsets. H has--------  proper subse

A: It is given that ,  H=n|n ∈N and 405 &lt; n ≤437we have to find , H has ................. subsets.H…

Q: Five distinct integers are to be chosen from the set {1, 2, 3, 4, 5, 6, 7, 8} and placed in some…

A: Given Information -  Five distinct integers are to be chosen from the set {1, 2, 3, 4, 5, 6, 7, 8}…

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

Q: Use the roster method to write the set of natural numbers less. Than 12

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Q: How many integers between 1 and 10000(inclusive) are divisible by at one of 9, 10, 11?

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Q: How many three​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6​} if…

A: Given data: Set{1,2,3,4,5,6} To find: Three​-digit numbers  formed using elements from the set​.

Q: set of two - digit numbers obtained from the digits 1

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Q: 5 numbers are to be chosen from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} How many ways can 5 (not necesarilly…

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Q: How many three-digit odd integers can be formed using the digits 0, 1, 4, 5, 6, 7, and 9 only once?

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: How many different 3-digit numbers are possible using only the digits 6,7,8,9 ? How many…

A: Given, There are 4 digit, 6,7,8,9

Q: How many codes are there?

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Q: Show that the set of odd numbers is countable.

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Q: How many three-digit numbers with different digits are there, formed from digits belonging to the…

A: The given digits are : 1,2,3,4,5,6,7,8,9 The total no. of digits given = 9 We are required to form a…

Q: Consider 4 digit numbers with each digit from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} .  How many such…

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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: Explain Cantor, of way 2. proving the set of algebraic numbers is countable Set.

A: The set of integers is countable, we have this following theorem: So by this theorem, the set of all…

Q: When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between…

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Q: A warehouse tracks inventory using stock codes consisting of a sequence of 5 uppercase letters…

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Q: Express the set of numbers shown on the number line in set builder notation.

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