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

Q: are there any even numbers greater than 2 which are prime? why or why not?

A: We will find the solution in the following step

Q: Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.…

A: Given Produce the least positive number that is divisible 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11.…

Q: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: Using the digits 0,1,2,....8,9 determine how many of each type of the three-digit number can be…

A: Given digits 0, 1, 2, ............., 8, 9 Any three digit number with zero at its first place…

Q: Texas is starting a lottery game. Play- ers use a machine that randomly selects 7 distinct numbers…

A: To calculate the probability that Texas will lose money, we need to determine the expected value of…

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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Q: ay be formed using the digits 2, 3, 4, 6 and 9 if repetitions

A: 22,23,24,26,29,32,33,34,36,39,42,43,44,46,49,62,63,64,66,69,92,93,94,96,99. In unit digit place we…

Q: Fermat's theorem is not true for some prime number. Select one: O True O False

A: Fermat's theorem states that if p is a odd prime number, then for any integer a, the number ap − a…

Q: Show that 2 + V5 is imational number

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Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

A:

Q: How many integers in the set {1,2,3,4, ..., 200} is divisible by at least one of the primes 2, 5 and…

A: Just use inclusion-exclusion principle for three sets.

Q: How many different license plates can be created of the form XXX – YYYY if the first three…

A: From 1-9 there are 9 digits So for the first three places, we can fill each place in 9 ways. So…

Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

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Q: How many different numbers can be formed using all the digits of 3 334 777?

A:

Q: Find all primes that divide 50!

A: Solution:-

Q: 11.) Pick 2 of the 4 to answer. Remember to show all your work!! Identify knowns, unknowns, and any…

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Q: How many positive integers with 6 or less digits are odd or divisible by 5 and do not contain any…

A: We can solve this problem by considering two cases:

Q: How many integers from 1 to 99,999 contain exactly two consecutive 1s?

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Q: How many negative divisors has the integer 90?

A: The divisors of 90 are all the numbers that we can evenly divide into 90.

Q: Which of the following four numbers are consecutive integers? O 6, 7, 8, 10 O 6, 5, 8, 9 O 6, 7, 8,…

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Q: Solve using only enumeration formulas (combinations, permutations...) How many 4 digit numbers…

A: Concept: Permutation: In permutation, things are chosen, and the order in which they are chosen is…

Q: Consider the list of numbers: 2n-1, where n first equals 2, then 3, 4, 5,6,…What is the smallest…

A: Given that, A numver is, 2n - 1 Where n = 2, 3, 4, 5, 6, 7, ............ We have to find the…

Q: How many 3-digit numbers can be formed from the prime numbers from 0 to 10 if the repetition of the…

A: We need to find how many 3 - digit numbers can be formed from the prime numbers from  0  to  10  if…