dmun IsnoitAT 6 21 5. a) Why are 49 and 16 rational numbers? erdh wond uo b) Why are /21 and 36 irrational numbers?

Q: 20. (a) Show that the sum of two odd prime numbers is never prime. (b) Is (a) true if the word odd…

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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: 22, Say whether the Runction is even, odd, or neither. Give reasans Ror your dnswer.

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Q: 2show that O (ir Yational numbers iihot hegigitale

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Q: A catalog begins with three dlistinct letters +ollowed by four distinct nonzero digits. what is the…

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Q: prove : 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8

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

A: We will answer the first three subparts as per our guideline. Please resubmit the other subparts…

Q: In how ways can the letters of the word 'ORANGE' be arranged so that the consonants occupy only the…

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Q: Which numbers from the set{-63,-54, -41, 11, 13, 76, 80, 130, 132, 137} are congruent to 7 mod 13?…

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

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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: If seven integers are chosen from between 1 and 12 inclusive, must at least one of them be odd? Why?

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

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Q: 3find gformyle for the nith daran of the falowlhw sepuences 1625- to

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Q: How many three-digit numbers can be formed from the numerals in the set {1, 2, 3, 4} if the…

A: Given digits are 1, 2, 3, 4 i.e, there are 4 different digits

Q: 9. Reason The coordinate of point M on number line is 11. If MN = 12, what are the possible…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: a) How many 3-digit positive integers are there with odd digits?

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Q: How many four​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6, 7, 8​} if…

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

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Q: (6) +() + (^) = 2" is it ? 4---+ wh is that?

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Q: If the first even integer is 4, then what will be next three consecutive even integers ? O 5, 14, 10…

A: In the question it is asked to represent next three consecutive even integers after even integer 4.

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

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Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

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

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Q: Show your work and justify. In how many ways can we order a deck of 52 playing cards so that no two…

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

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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: How many 5-digit numbers can be formed using the numbers 0, 1, 2, ….9, such that: Repetition is…

A: There are 10 digit available from 0 to 9. To construct a 5 digit number , the first digit always…

Q: Prove disprove that or characteristics of simple xing is either prime . žero or

A: To prove or disprove that characteristics of a simple ring is either zero or prime

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: --to-one o? [ Se

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Q: How many three​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6, 7, 8, 9​}…

A: given:  set ​{1, 2, 3, 4, 5, 6, 7, 8, 9​}   if no element may be used more than once in a number and…

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: How many integers between 1 and 10000(inclusive) are divisible by at one of 9, 10, 11?

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Q: How many three-digit odd integers can be formed using the digits 0, 1, 4, 5, 6, 7, and 9 only once?

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

Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10.…

A: To decide whether P is a subset of Q or the other way

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

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Q: The ancient Greek were the first to insist on proofs for Mathematician statement to make sure they…

A: The statement "The ancient Greeks were the first to insist on proofs for mathematical statements to…

Q: ソ=4 when ×こo リ-33 -49- う--2 |

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Q: Suppose that 31% of McMaster undergraduate students are in the first year. President David Farrar…

A: It is given that p=0.31.

Q: by

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Q: How many two-digit numbers can be formed using the digits from {2, 4, 6} if the following is true.…

A: Given: The digits are {2, 4, 6} Number of ways to form two-digit number without repetition…

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

A: Solution

Q: Suppose that n students take a quiz and their scores sum to 150. What is the smallest number n to…

A: Pigeonhole Principle: The pigeonhole principle states that if n items are put into m containers with…

Q: There is an even number betuween 200 and 300 that is divisi ble bu 5 and also by 9. What is te…

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Q: 17≡ 7 (mod  2) ,true or false?

A: