Specify the sets by roster. (a) {Odd counting numbers less than 13}       (b) {Positive multiples of 7} (Enter only the first three values of this set.)

Q: At the Winter Olympics, eighteen women qualify for the Women's Giant Slalom competition. Considering…

A: The number of women qualify for the women’s giant slalom competition is 18.

Q: The set of all odd numbers between 100 and 110 that are a multiple of 3

A: We need to find the set of all odd numbers between 100 and 110 that are a multiple of 3.List of all…

Q: is the set of irrational numbers closed for: a) addition and b) multiplication

A:

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 distinct proper subsets are there of the set N = {9, 46, 69, 18}?

A:

Q: Specify the sets by roster. (a) {Counting numbers containing only 7s} (Enter only the first four…

A: We can solve both the questions as below.

Q: Postcodes in a country begin with either 1, 2, 3, 4, 5, 6, 7 or 8 followed by 2 more digits. How…

A: Postcode can start with either 1,2,3,4,5,6,7,or 8 Therefore there are 8 choices for the postcode to…

Q: The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is

A:

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly three 0s, five 1s,…

A: Total number of digits are 12 Given there are three 0's , five 1's and four 2's

Q: How many five digits number can be form using the integer 0,1,2,3,4,5,6,7 if  Repetition is allowed…

A:

Q: Find integers ? and ? such that 3220? + 6006? = gcd(3220,6006).

A: Remark: The greatest common divisor (gcd) of two integers is the greatest integer that divides both…

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

A:

Q: 20. Which set has more elements, the set of rational numbers or the set of irrational numbers?

A:

Q: determine the numbers of ways to deal 13 cards on the table having exactly 2 aces from a standard…

A:

Q: Set C is the set of positive two-digit even numbers less than 56 that are divisible by 5.

A:

Q: How many integers between 1 and 1000 are divisible by 3, 5, 11, or 13?

A: We have to find the total  integers between 1 and 1000 are divisible by 3, 5, 11, or 13. First find…

Q: One company has 700 employees. Prove there are at least two employees that have the same initials.…

A:

Q: Explain how the counting problem above can be modeled with strings of length 16 from the alphabet…

A: Given problem is, Lion (L) and Unicorn (U) start eating 16 piece cake in a competition.

Q: 1) Find two distinct ways to write the even integers using set-builder notation. 2) Then, find…

A: 1 Two distinct ways to write the even integers using set-builder notationWay 1:  x  x=2n, n∈Z Way 2:…

Q: b Explain how every recurring decimal with an infinite string of 9s can be written as a terminating…

A:

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: A telephone number consists of 7 digits. How many phone numbers are possible if the first digit is…

A: The formation of a telephone number is a significant use of counting. A telephone number consists of…

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: A license plate consists of   five symbols on each​ plate, where the first two symbols are letters…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: Specify the sets by roster. (a) {Even counting numbers less than 16}     (b) {Positive multiples…

A: Specify the sets by roster. (a) {Even counting numbers less than 16} (b) {Positive multiples of 8}…

Q: here are 8 horses in a race. In how many ways can the first three positions of the order of the…

A:

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

A:

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: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

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Q: 4.The set of integers from 1 to 10 that is divisible by 3.

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Q: Without using a calculator, test for 60,330 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11 Is…

A:

Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

A: We have to find the sum of all divisor of 5020 and then the amicable pair of the number.

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

A:

Q: n crayon box contains 2 green, 3 yellow and 4 blue crayons. In how many ways can one choose 3…

A:

Q: Find an infinite set of your choice whose elements are irrational numbers between 71.8094 and…

A:

Q: 3) Order the set of fractions using the number line 1 4 1: 2' 5 3 2 1 14' 3' 2 - -

A:

Q: ny three-letter "words" can be made from 6 different letters "FGHIJK" if... a) Repetition of…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: How many positive integers less than 2ˆ{20} are not divisible by 7, 11 or 13. Use…

A: The solution is given below

Q: What is the intersection of (a) the sets {0, 1, 3} and {1, 2, 3}; (b) the set of girls in this class…

A: Given information Part (A):- The intersection of sets {0, 1, 3} and {1, 2, 3}. Take A=0, 1, 3,…

Q: Users of the online system for a Bank are required to set a password that is 10 character-long. Each…

A: Introduction: Considering the letters are not case-sensitive, each letter indicates a single choice,…

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A: Given, A denotes the set of all 4 digit numbers that are divisible by 3 B denote the set of all 4…

Q: Specify the sets by roster. (a) {Counting numbers containing only 7s} (Enter only the first four…

A: To specify the given sets by the roster form. Note that, in the roster form the elements of a set…

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

A:

Q: How many five-digit numbers are there composed of different digits belonging to the set…

A: Givenset is {0,1,2,3,4}

Q: a) Using only the numbers 0, 1, 2, 5, 6, 7, and 8, determine how many 4 digit natural numbers are…

A: How many 4 digit natural numbers are possible using 0,1,2,5,6,7,8

Q: Your student email account requires you to choose a password of 4 letters followed by 1 of the…

A: We have to find no. of ways to arrnage given data.

Q: How many seven-digit numbers are there with non-repeating digits belonging to the set…

A: Solution:3.75. From the given information, a set of numbers is {0, 1, 2, 3, 4, 5, 6}