If we try to get a 6-digit integer with non-repeated digits from 0,2,4,7,8,9, how many integers are greater than 420789?

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: Suppose that 54% of people own dogs. If you pick two people at random, what is the that they both…

A: Given: P(Dog) = 0.54 The probability that they both own a dog can be calculated as: P(Both own a…

Q: 1. How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit?

A: A number is divisible by 5 if the last digit is either 5 or 0. We have to find the number of 5 digit…

Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: How many four digit positive integers are there that contain the digit 3 and are divisible by 5?

A: A number is divisible by 5, if the unit digit place contains the number 0 or 5. Let m choices to be…

Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the both own a dog?…

A: Given, Probabily of a person own a dog is 43 %

Q: How many 10-bit strings begin with "101" or "00"?

A:

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

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

A:

Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

A:

Q: 1. How many odd four-digit numbers can be formed from 0,1,2,3,4,5,6,7,8,9 if each digit can be used…

A: here as per guidelines i have calculated first main question    here use counting principle

Q: How many integers between 1 and 1000 are divisible by 3, 5, 11, or 13?

A: We have to find the total  integers between 1 and 1000 are divisible by 3, 5, 11, or 13. First find…

Q: show that number of 132- avoiding permutations are equal to number of 123-avoiding permutations

A: We have to show that number of 132- avoiding permutations are equal to number of 123-avoiding…

Q: Determine the smallest integer that can be expressed as a sum of two primes in three different ways

A: Let us have smallest prime numbers  are, 2,3,5,7,11,13 17,19.....

Q: How many different integers must be selected to guarantee that at least 5 of them would have the…

A: Dividing any integer by 3, can have remainder 0, 1 or 2. Therefore, possibilities for remainder are…

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

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

A:

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: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

Q: Compute P5,2. (Enter an exact number.)

A: Obtain the value of P5,2.  The value of P5,2 is obtained below:   Permutation: A permutation is an…

Q: How many integers between 100 and 999 inclusive are multiples of 13?

A:

Q: Compute P5,4. (Enter an exact number.)

A: Obtain the value of P5,4.  The value of P5,4 is obtained below:   Permutation: A permutation is an…

Q: 21 and 24 are not relatively prime numbers

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

Q: 11. What is the sum of all 4 digit numbers formed using the digits 2, 3,4 and 5 without repetition?

A:

Q: how many four-digit even numbers are possible if the leftmost digit cannot be zero? repitition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: How many positive odd integers less than 10,000 can be written using the digits 3, 4, 6, 8, and 0 if…

A:

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

A:

Q: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

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

A: Given data: Set{1,2,3,4,5,6} To find: Three​-digit numbers  formed using elements from the set​.

Q: A security keypad uses five digits (0 to 9) in a specific order. How many different keypad patterns…

A: There 5 events digits and 5 odd digits. The security keypad uses five digits from 0 to 9. There are…

Q: 3. How many different 6-digit numbers can be formed from the numbers 25627 2? permutation set up

A:

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: How many 6-permutations of [15] have their digits in increasing order?

A: Permutation is a technique to obtain the possible arrangements of listed items in a linear order.…

Q: How many 7-digit ID numbers can be formed if each number starts with 19 and no digit appears more…

A: Solution-: How many 7-digit ID numbers can be drawn formed if each number starts with 19 and no…

Q: In how many ways can a 3-digit number be generated using the digits 1, 2, 3, 4, 5 if

A:

Q: How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not…

A:

Q: Determine the smallest integer that can be expressed as a sum of two primes in three different ways.

A: The number is 22 and all others smallest integer can not be written as sum of two primes in three…

Q: How many integers from 1 to 500 are divisible by at least one of  the numbers 3, 4, 5?

A: Given :  Integers from 1 to 500 Total numbers  = 500 So to calculate the number of divisors, we will…

Q: How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit?

A: A number is divisible by 5, if it has a 0 or 5 in the unit digit place. Let m choices to be made…

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

A:

Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

Q: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an…

A:

Q: How many positive integers between 100 and 999 inclusive are divisible by 7?

A: The formula for term number n in an arithmetic series is . Here, a is the first term, n is the…

Q: How many positive integers between 10 and 99 inclusive are divisible by 2 or 3?

A: How many positive integers between 10 and 99 inclusive are divisible by 2 or 3?

Q: How many 7-digit ID numbers can be made if no digits repeat, and the last digit must be 0 or 1?…

A: Consider the case when the last digit is 0.  The number of digits left is 10-1 = 9 digits.  The…

Q: How many corresponding integers are made up of 1443 digits taken from (1-2-3-4-5-6) provided that no…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.