How many seven-digit numbers are there with non-repeating digits belonging to the set ${0,1,2,3,4,5,6}$ and simultaneously: (a) even b) divisible by 4 ?

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: Fermat's theorem is not true for composite number. Select one: O True O False

A: Ans :  true

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: Determine the number of integers between 1 and 10000 that are not divisible by 6, but are divisible…

A: Given, the number of integers between 1 and 10000 To find the integers between 1 and 10000 that are…

Q: How many different three digit numbers can be made from the set of integers {1,2,3,4,5,6,7,8,9} if…

A: The set of integers {1,2,3,4,5,6,7,8,9}

Q: 7. What is (54), in the Hexadecimal number system? a. (20) 16 b. (2D) 16 C. (C2) 16

A: Given: The decimal number is 54.

Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

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: (8) How many integers in the set [1,000] = {1, 2, ..., 1,000} are (a) divisible by 5? divisible by…

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Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not…

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Q: 2) How many integers between 1 and 200, including both 1 and 200 are divisible by 4 or 5? 3) How…

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Q: How many positive integers less than 1000 are divisible by 5? How many positive integers less than…

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

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 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: 2. How many integers between 1 and 500 (inclusive) are a) divisible by 2? b) divisible by 7? c)…

A: Note: As per our Guidelines we can solve first three subparts. Please repost remaining parts.

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: 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 six-digit even numbers more than 200,000 can be formed using all of the digits 1, 1, 2, 2,…

A: Step 1: Step 2: Step 3: Step 4:

Q: How many six-lettered words starting with the letter T can be made from all the letters of the word…

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Q: 1. Find the number of integers between 1 and 10,000 inclusive that are a) Divisible by at least one…

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Q: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

A: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 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: 3. How many different 6-digit numbers can be formed from the numbers 25627 2? permutation set up

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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 positive divisors does 4984 have?

A: we have to find the number of positive divisors of the number 4984  so, for that, we will first…

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 =…

Q: . PERMUTATIONS How many 3-digit numbers can be formed from 3 one’s, 3 two’s, and 2 three’s?

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