If a, b, c, d are distinct prime numbers with an as smallest prime then a * b * c * d is Even number Prime number Odd number (None of the mentioned

Q: The number of factors of prime numbers are None of the mentioned O 30 Depends on the prime number

A: No. Of factor of prime no. Means how many divisor consist of a prime no.

Q: 1. How many three digit numbers can be formed from the digits 1,2,3,4 and 5 if one is not to used as…

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Q: Our aim is to check whether 131 is a prime number or a composite number. Which among the following…

A: We will find correct option by finding Contradictory statement

Q: what

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Q: Our aim is to check whether 179 is a prime number or a composite number. Which among the following…

A: A number is set to be prime if the number is divided by 1 and itself Let us consider any number n…

Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Any integer greater than 1 that has other positive factors besides 1 and itself is also known as O…

A:

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. Prove that n is square - free every prime number to sat:sfies does not divide ).

A:

Q: How many integers between 0 and 500: 1. Have distinct digits? 2. Are divisible by 3? 3. Are…

A: Integers between 0 and 500 = 1, 2, 3, 4, ....., 499   Number divisible by 3 = 3, 6, 9, ...., 498…

Q: from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 form a set containing first five prime numbers (x) greater than 50…

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Q: Our aim is to check whether 179 is a prime number or a composite number. Which among the following…

A:

Q: Our aim is to check whether 173 is a prime number or a composite number. Which among the following…

A: Here we will check that whether 173 is prime or not.

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 both p and p^2 +8 are prime numbers then show that p^3+4 is also prime number

A:

Q: Prove that there are no 3 consecutive odd prime numbers, that is, for any odd p, at least one of…

A: GIVEN: Prove that there are no 3 consecutive odd prime numbers

Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

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Q: 1. How many odd 2-digit positive integers greater than 20 are there? 2. A red die and a blue die are…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Our aim is to check whether 221 is a prime number or a composite number. Which among the following…

A: A number is prime if and only if it has two prime factors 1 and itself

Q: How many positive integers between 100 and 999 inclusive   d) are not divisible by either 3 or 4?…

A: The set: A∪B contains all the elements that are present in set A or B. The set A-B contains all the…

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

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Q: If a, b, c, d are distinct prime numbers with an as smallest prime then a * b * c dis None of the…

A: Given a,b,c,d are distinct prime numbers with a as smallest prime. Then, a*b*c*d=_________

Q: Prove that there are no 3 consecutive odd prime numbers, that is, for any odd p ≥ 5, at least one of…

A:

Q: Our aim is to check whether 173 is a prime number or a composite number. Which among the following…

A: To check a number is prime or not we need to check the number is divided either of the primes less…

Q: 3. The GCF of any two distinct prime numbers is 1. (Distinct they are not the same number) means

A:

Q: Uur aim is to check whether 131 is a prime number or a composite number. Which among the following…

A: Here we have to find 131 is a prime number or a composite number. Prime number:-A number will be…

Q: If a, b, c, d are distinct prime numbers with an as smallest prime then a *b * c dis None of the…

A: Answer

Q: 21 and 24 are not relatively prime numbers

A: To find: Whether 21 and 24 are relatively prime numbers or not?

Q: Use permutations to solve. From a cooler with 9 different kinds of soda, 3 are selected for 3…

A: The formula of permutation is: Prn=n!n-r! This is the required answer.

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: Let ß = (1,3,5,7,9,8,6)(2,4,10). What is the smallest positive integern for which ßn = ß-5?

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Q: Our aim is to check whether 173 is a prime number or a composite number. Which among the following…

A: We have to choose the correct option.

Q: Find how many positive integers with exactly four decimal digits, that is, positive integers between…

A: The positive integers between 1000 and 9999 is calculated as follows.

Q: 9. Let n be an odd number with exactly four distinct prime factors. If (3, n) = 1, prove that n is…

A: We will use knowledge of number theory to answer this question.

Q: If a, bị c, d are distinct prime numbers with an as smallest prime the a * b * c *d is Prime number…

A: Given: a, b, c, d are distinct prime numbers and  a is the smallest prime number We know that, the…

Q: ) How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0…

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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: Prove that 8 divides 9" – 1 whenever n is a natural number. For each natural number n, let P(n) be…

A: To prove that  8 divides 9^n-1 whenever n is a natural

Q: of

A:

Q: 3. There are seven students who always compare their CS test grades. They discovered that either the…

A: It is given that there are seven students who always compare their CS test grades. They discovered…

Q: How many twin primes are there where both primes are less than or equal to 31? Number of twin…

A: Twin prime: If there is only one composite number between two prime numbers, then that two numbers…

Q: Our aim is to check whether 179 is a prime number or a composite number. Which among the following…

A:

Q: 4. How many positive natural numbers less than 1000 are neither divisible by 3 nor 5 nor 7 nor 11.

A: Let U={1,2,3,...1000} n(U)=1000 A={a∈U/ x is divisible by 3}A={3,6,9. . .…

Q: Since the next prime after 7 is​ 11, the smallest composite number whose prime factors are all…

A:

Q: by

A:

Q: Consider the set of numbers {1,...,200}. Denote by A the set of multiples of 2 in this set. Denote…

A:

Q: Our aim is to check whether 131 is a prime number or a composite number. Which among the following…

A: You can solve the problem by using the test for the prime numbers as follows

Q: Let p2 q be primes greater or equal to 5. Show disprove that 24 divides p² – q². or

A: Consider the provided question,

Q: A restaurant sell features a burrito bar in which a customergets to choose one of 2 different kinds…

A: As per bartleby guidelines only one question is answered please upload the other one separately…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.