The set of numbers whose decimal representations are neither terminating numbers. repeating is called the set of nor

Q: What is the set M of positive integers less than 100?

A: Given statement is set consist all those positive integers less then 100. Collection of all these…

Q: How many positive integers between 500 and 999 inclusive are not divisible by 5?

A: For this problem, we must recall that to calculate the number of integers in a range of values that…

Q: A company wants to have a 6 digit phone extension with the first digit not being zero

A: We have to make a 6- digit number. So let's assume we have 6 empty boxes to fill and form the 6-…

Q: The set of numbers whose decimal representations are neither terminating nor repeating is called the…

A: Explanation:-

Q: A company wants to have 4-digit phone extensions with the first digit not being zero. How many…

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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: The set of integer number is cinbounded set

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Q: A sequence of  120 natural numbers is given such that number n is written n times…

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Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the both own a dog?…

A: Given, Probabily of a person own a dog is 43 %

Q: How many natural numbers that are less or equal to 1000 and that are not multiples of 3, 5, or 7…

A: A number is said to be divisible by other number if on dividing the number  with it given remainder…

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A: There are 24 choices for each letter. (this explanation was already shown in the image you shared)…

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: The set of numbers whose decimal representations are neither terminating nor repeating is called the…

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Q: Find the number of subsets that can be formed from a set containing 10 elements.

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Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

A: The total 10 digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Q: How many triples of integers from 2 through 16 can be formed in which the integers are in increasing…

A: Any triple of integers (i, j, k) with 2 ≤ i ≤ j ≤ k ≤ 16 can berepresented as a string of 15 – 1…

Q: Find two different sets of coins that each make 120% of a dollar, where no type of coin is in both…

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Q: suppose repetitions are not allowed. Find the number n of three-digit even nimbers that can be…

A: Given problem Given that   Suppose repetitions are not allowed. Given six digits : 2,3,5,6,7,9…

Q: How many different words with or without meaning can be formed with the letters of the word…

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Q: Verify whether 301 is a term of test of numbers 5,11,17,23,....

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

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Q: determine the number of computer can randomly generate one such integers from 1 through or more 12.…

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Q: A sequence of 120 natural numbers is given such that number n is written n times {1, 2, 2, 3, 3, 3,…

A: Here, a sequence of 120 natural numbers is given such that number n is written n times,i.e,{1, 2, 2,…

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

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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 company wants to have 7-digit phone extensions with the first digit not being zero. .... How many…

A:

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 18}       (b) {Positive…

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

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

A: Solution

Q: How many ways are there to list the digits 1, 1, 2, 2, 3, 4, 5 so that the digit 3 and 4 are not in…

A:

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

A:

Q: How many 98-element subsets does [100] have? (Here [100] is the set consisting of the first 100…

A: Given: Let us consider n be the number of elements in the set and r be the elements-subsets. Then, n…

Q: A product code consists of a one or two-digit number (including 0) followed by 3 not necessarily…

A: A product code consists of a one or two-digit number (including 0) followed by 3 not necessarily…

Q: Each student has an ID number consisting of 5 digits ( the first digit is non-zero, and digits can…

A: Number of digits in the ID number = 5 Since first digit is non-zero, the number of possibilities for…

Q: = there to construct a string of 4 digits if numbers can be repeated?

A: We have to make a 4-digit number where digits can be repeated. Since the digits of number are not…

Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

A: Number of possible arrangement can be calculated either by combination or permutation methods.…

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

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

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Q: {xlx is a whole number less than 6} if U is the set of all whole numbers

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Q: How many different codes are​ available?

A: It is given that the code consists of four digits. The first digit cannot be zero and the last digit…

Q: How many four-digit even numbers are possible if the leftmost digit cannot be zero? Repitition is…

A: The possible total ten numbers are {0,1,2,3,4,5,6,7,8,9}.Since the left most digit cannot be zero,…

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

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Q: What is the value of the whole number N, if: N ofof of of 100?

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Q: Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD.…

A: the total number of alphabets between A to P is 16.

Q: Write the set of natural numbers greater than 24 using the most concise method.

A: Write the set of natural numbers greater than 24 using the most concise method.

Q: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an…

A:

Q: How many positive integers between 100 and 999 inclusive are divisible by 7?

A: The formula for term number n in an arithmetic series is . Here, a is the first term, n is the…

Q: How many positive integers between 10 and 99 inclusive are divisible by 2 or 3?

A: How many positive integers between 10 and 99 inclusive are divisible by 2 or 3?

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

A: