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

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

A:

Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

A:

Q: Suppose 35 cars start at a car race. In how many ways can the top 3 cars finish the race?

A: The information provided in the question are as follows :-There are  cars at a car race.

Q: 16. Given an odd integer a, establish that a² + (a + 2)²+(a + 4)² + 1 is divisible by 12.

A:

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: 5. (12 points) Find how many positive integers between 1 and 99, inclusive, have the following…

A: The objective of this question is to find the number of positive integers between 1 and 99 that are…

Q: Texas is starting a lottery game. Play- ers use a machine that randomly selects 7 distinct numbers…

A: To calculate the probability that Texas will lose money, we need to determine the expected value of…

Q: 5. (12 points) Find how many positive integers between 1 and 99, inclusive, have the following…

A: The objective of this question is to find the number of positive integers between 1 and 99 that…

Q: Disprove  For any integer n, n2 + 5 is not divisible by 5.

A:

Q: Find the number of positive integers not exceeding 104 that are not divisible by 5 or by 7.

A: In this Question we have to find the number of positive Integer between 0 and 104 which is not…

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: 6. How many integers from 1 through 100 must you pick in order to be sure of getting one that is…

A:

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

A:

Q: . Find the number of integers between 1 and 10,000 inclusive that are not divisible by 4, 5, or 6.

A: # As per the guidelines we are entitled to solve one question at a time , please resubmit the other…

Q: 5. Find the number of positive integers less than 700 that are divisible by 3 but not divisible by…

A:

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

A:

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

A: