How many five-digit numbers are there composed of different digits belonging to the set ${0,1,2,3,4}$ and at the same time: (a) odd b) divisible by 5 ?

Q: How many integers from 1 to 700 (inclusive) are divisible by the factors of 70 greater than 1?

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Q: 3.73 How many seven-digit numbers with different digits belonging to the set ${3,4,5,6,7,8,9}$ and…

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Q: The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is

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Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

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

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Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: How many numbers between 1234 and 1234567 are of 5? multiples of 2 or multples

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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 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 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: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: How many integers in between 1 and 3000, inclusive are divisible by either 5 or 7?

A: Let A and B are two sets such that then number of elements in A and B are obtained as…

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: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

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Q: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

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Q: How many numbers can be made each using all the numerals in the set S = {1,2,2,3, 3, 3, 0}

A: According to the provided information, The set are S= {1, 2, 2, 3, 3, 3, 0}

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…

Q: How many integers are there in the following set that are divisible by 2 or divisible by 7? {1,2, 3,…

A: according to given data number of integers which are divisible by 2 is 2,4,6,.......,100 so, total…

Q: Determine whether or not the first number is divisible by the second number 249,576; 3 Yes No

A: given number 249,576 to show it is divisible by 3

Q: How many three digit numbers (values between 100 and 999 inclusive) are divisible by four? How many…

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Q: How many different 3-digit numbers can be formed from the digits 1, 3, 4, 5, 6, 7,9 if repetition of…

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Q: .76 How many six-digit numbers with different digits belonging to the set ${0,1,2,3,4,5,5}$ and…

A: 6 digit forming a 6 digit number  The total number of 6 digit different numbers = 6!-5! = 720-120 =…