1. Given that a set contains prime numbers. Which of the following is false?   a.  A = [22, 112, 222, 309, 450] b. C (828, 938, 1052, 1186, 1363) c. D (1188, 1257, 1371, 1579, 1606)  d. F (74, 280, 477, 1479, 1623) e. B (106, 222, 320, 642, 718) f. E = (209, 372, 618, 1161, 1309}   2.  What best describes Y = {23, 27, 29, 31, 35, 37, 39, 41}?    a. Set containing composite numbers from 22 to 42 b. Set containing union of prime and odd numbers from 22 to 42 c. Set containing odd numbers from 22 to 42  d. Set containing prime numbers from 22 to 42 e. Set containing intersection of composite and odd numbers from 22 to 42  f. Set containing intersection of prime and odd numbers from 22 to 42

Q: C. How many 4-digits number can be formed out of 0, 1, 2, 4, 6, 8, 9 to construct an odd number with…

A:

Q: Writing sets of numbers using descriptive and roster forms Write eau et in the indicated form. If…

A: (a) Given Roster Form : {1 , 2 , 3 , 4} Descriptive form : The set of natural number less than or…

Q: A zip-code is any 5-digit number, where each digit is an integer 0 through 9. For example, 92122 and…

A: Permutation: A permutation of a set is an arrangement of its members into a sequence or if the set…

Q: 1. How many five-digit numbers can be formed from the digits 3, 4,5,6 and 7? a. no repetition of…

A:

Q: How many 4-digit number can be formed out of 1,2,3,4,5,7 and 8 if: a. There is no restriction. b.…

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

Q: . How many are greater than 330 in a group of 3 digit numbers forme d 5 where digit (s) may be…

A:

Q: Claim: For any natural number n, if 6 ∣ n, then 3 ∣ n.

A: Use the mathematical induction to show that the given statement “For any natural number n, if 6 ∣ n,…

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…

A:

Q: а. 32 3 b. 16* What is each number in simplest form? C. 9-3.5

A:

Q: Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of…

A: Let black chips represent positive integers and red chips represent negative integers. Take the…

Q: Consider the following digits: 0, 1, 2, 3, 4, 5, and 6. if a three-digit number is to be formed and…

A:

Q: Find all possible two-digit numbers using the digits from the set {1, 2, 3, 4}. Write the set for…

A:

Q: Continue the Sieve of Eratosthenes below through 152. Then list the prime numbers from 121 through…

A: 1. A natural number is called prime if it is completely divisible by self or 1 only ( except 1 which…

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: how many positive month numbers are between 50 and 100: a. the one that was divisible by 7? which…

A: Solution a) Total numbers divisible by 7 between 1 to 100 are 1007=14 and total numbers divisible by…

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…

A: Given data is 1,2,3,4,5No.of digits =5

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: If z ≥ 2 is an integer, show that the following numbers are composite. n! + 2, n! + 3, n! + 4, ... ,…

A:

Q: ) Check all the numbers that are divisors. a.) 288

A: see 2nd step

Q: In how many distinct ways can a 11​-digit number be made using five 6​'s and six 5​'s?

A: To find- Ways by which 11 digit number be made.

Q: How many four digit numbers can be formed without repeating any digit from the following digit's:…

A: We have to find number of permutations possible.

Q: 3. Find the greatest digit if possible, that makes each of the following statements true. a. 6 87 4…

A:

Q: How many people must be chosen to be certain that at least two of them will have a. A birthday on…

A: To solve the problem, we use Pigeonhole principle.Pigeonhole principle: If there are more pigeons…

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.