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

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: How many different​ three-digit numbers can be formed using the digits 5, 6, 3, 1, 9, and 7…

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Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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Q: How many different five-digit numbers can be written using the digits 0, 3, 3, 5, 5 ?

A: we will see in next step

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

Q: How many different​ three-digit numbers can be formed using the digits 3, 6, 1, 7, 8, 2, and 4…

A: How many different​ three-digit numbers can be formed using the digits 3, 6, 1, 7, 8, 2, and 4…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

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Q: If 3 is added to a whole number w,the result exceeds 20???

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Q: How many 5-digit numbers can you make using the digits 0-9 without repeating the digits? *

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Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

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Q: How many different 5-digit phone numbers do not contain the digit 6? Assume that any digit in the…

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

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Q: How many odd three digit number can be written using the digits 2, 3, 4, 5, and 6?

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Q: How many ways are there to choose three different numbers each between one and a hundred so that…

A: There can be two possibilities only 1) All the three numbers are even. 2) One number is even and two…

Q: How many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15?

A: We need to find how many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15. To…

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: How many integers between 1000 and 9999 inclusive are not divisible by 5?

A: The number of integers from 1 and 9999 which are divisible by 5 is = [9999 ÷ 5] = [1,999.8] = 1999…

Q: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

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

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Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

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Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: What is 2% of 76

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Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given, a state's License  plate consist of 4 letters followed by 5 digits.

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: 1. What is %% of 200?

A: As per our honor code, we are authorized to answer only one question at a moment. As you have not…

Q: How many different three digit numbers can be formed using the digits 8,1,5, and 7 with repetition ?…

A: To determine: The different three digit numbers can be formed using the digits 8, 1, 5, and 7 with…

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

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Q: How many positive numbers less than 300 are divisible by 7 but not 5?

A: We need to find positive numbers less than 300 that are divisible by 7 but not by 5. First count the…

Q: What is the sum of the first 100 nonnegative integers?

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Q: How many different five-digit numbers can be formed using the four digits 3, 4, 5, 6, and 7 once…

A: Given numbers are 3, 4, 5, 6, and 7  So 5 numbers are given.

Q: 2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are…

A: Here the repetition of letters and numbers are allowed.

Q: In how many ways can the digits in the number 8,633,333 be​ arranged?

A: Given  Number 8,633,333.

Q: In how many ways can you write a 5 digit number such that all the digits are even or all the digits…

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

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

Q: 1. How many numbers less than 10,000 are not multiples of 2, 3 or 5?

A: A number is said to be divisible by other number when the number can be divided equally by that…

Q: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

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Q: How many numbers between 100 and 999 (inclusive) are divisible by neither 4 nor 5?

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Q: How many positive integers not exceeding 10,000 are divisible by 7, 17, or 23?

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Q: Given 9 digits,   1,23,4,5,6,7,8,9, how many 3-digit numbers could be formed without repetition of…

A: Given ,total no.of digits=9 (1 to 9)

Q: How many integers in the range 1 to 100,000 inclusive are divisible by 6, 15 or 21?

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Q: How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6. 6, and…

A: Now here given  digits 2,3,4,5,6,9

Q: How many different numbers which contain from four digits or fewer can be formed from the digits A,…

A: Digits can be taken with replacement   Given are 5 letters:   A,B,C,D,E AB<4   and C,D,E >=4…

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: What is the sum of the integers between 699 and 800 inclusive, that are multiples of 5?

A: Divisibility rule of 5, If a number is to be divisible by 5 then the last digit of that number…

Q: How many 3-digit multiples of 5 can you form using the digits and 9 without repetition?

A: Please see the below picture for detailed solution.

Q: How many positive integers not exceeding 100 are divisible by 5 or 7?

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Q: How many 3-digit numbers with no repeated digits using 4, 5, 6, 7, 8 can be a. less than 520? b.…

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Q: How many whole numbers have 5 digits and that are even, if no digits are repeated? (0 cannot be the…

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Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.