6. How many integers from 1 through 100 must you pick in order to be sure of getting one that is divisible by 5?

Q: the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if each element can…

A: We have to solve given problem:

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

A:

Q: Think about the three-digit numbers that can be formed from the digits 1, 2, 3, 4 and 5 without…

A: Solution

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: How many integers greater than 120 but less than or equal to 540 are divisible by 6? Group of answer…

A:

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

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

A:

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: How many integers must you pick in order to be sure that at least two of them have the same…

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: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: How many numbers between 1 and 100,000 can be divided by 24?

A:

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: We know: ½ of all integers are divisible by 3 and t of integers are divisible by 7. What fraction of…

A: We need to find fraction that will be divisible by 3,7 or both.

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: A group of 6 people are sitting in a circle at the park for a picnic. Two seatings are considered…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: There are 12 black socks, 15 dark brown socks, and 20 dark blue socks in a drawer. It is dark and…

A: In a drawer, The number of Black Socks = 12 The number of Dark Brown Socks = 15 The number of Dark…

Q: How many different numbers can be formed using all the digits of 3 334 777?

A:

Q: How many different three-digit numbers can be formed using the digits 1, 4, 5, and 9 without…

A: Given N=4 n=3

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…