3. Consider a set of numbers B = {n E Z|1

Q: How many integers from 1 to 700 (inclusive) are divisible by the factors of 70 greater than 1?

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Q: 5. What is the order of each of the following permutations? a. (124)(357) b. (124)(3567) d.…

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

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Q: let A {a, b} and B = {4, 5, 6}. %3D

A: A=a,bB=4,5,6 To find : a A×Ab B×B

Q: a) Is (−3)! possible? Explain your answer.  b) In how many ways can you order an empty list or zero…

A: a.(-3)! is not possible only the factorial of whole numbers are possible. Main use of factorial is…

Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

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Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: If 2 (5) = 72, then the value of n is:

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Q: sub: discrete How many ways can a group of five people be selected from nine people?

A: There are total 9 people. To Find: Number of ways that we can select a group of five people from…

Q: How many integers must you pick in order to be sure that at least two of them have the same…

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Q: Find the number of positive integers not exceeding 104 that are not divisible by 5 or by 7.

A: In this Question we have to find the number of positive Integer between 0 and 104 which is not…

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

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Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

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Q: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

A: The given set of numbers is, 1,2,3,.....,99,100 The total no.of numbers from 1 to 100 is, 100 The…

Q: 2. How many integers between 1 and 500 (inclusive) are a) divisible by 2? b) divisible by 7? c)…

A: Note: As per our Guidelines we can solve first three subparts. Please repost remaining parts.

Q: The books in a small bookstore all have barcodes. The bar codes have 14 digits, and the last 9…

A: 9 digits are 000565162

Q: 6. How many integers from 1 through 100 must you pick in order to be sure of getting one that is…

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Q: How many integers between 1000 and 9999 inclusive are not divisible by 5?

A: The number of integers from 1 and 9999 which are divisible by 5 is = [9999 ÷ 5] = [1,999.8] = 1999…

Q: How many numbers between 1 and 100,000 can be divided by 24?

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Q: IF N{A} = 3 and N{B} = 5 what is the largest number possible for N{A⋂B}

A: N(A)=3N(B)=5

Q: The three-digit number 2A4 is added to 329 and gives 5B3. If 5B3 is divisible by 3, what is the…

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Q: We know: ½ of all integers are divisible by 3 and t of integers are divisible by 7. What fraction of…

A: We need to find fraction that will be divisible by 3,7 or both.

Q: For how many n = {1, 2,…, 645} is n a multiple of one or more of 8, 7, or 3?

A: n belongs to (1,2,....645) is n a multiple of one or more of 8,7 or 3.

Q: How many integers in between 1 and 3000, inclusive are divisible by either 5 or 7?

A: Let A and B are two sets such that then number of elements in A and B are obtained as…

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: A group of 6 people are sitting in a circle at the park for a picnic. Two seatings are considered…

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

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…

Q: How many three digit numbers (values between 100 and 999 inclusive) are divisible by four? How many…

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Q: . PERMUTATIONS How many 3-digit numbers can be formed from 3 one’s, 3 two’s, and 2 three’s?

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