A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an number.

Q: Find 1!, 2!, 4!, and 6!.

A: Factorial:

Q: How many 4 digit numbers do not have digit 0 in them.

A:

Q: What is the converse of: an integer has divisors other than 1 and itself, if an integer is…

A:

Q: Arrange the digits 0,0,2,2,3,5,7,8,9 to make a 9-digit number that is divisible by…

A:

Q: Write the following (x: x-2, n is natural number less than 6) in roster form. (1, 2, 3, 4, 5}

A:

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 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 4-digit combinations can be made from the digits 0-9?

A:

Q: How many 7 digit phone number are possible? Assume the first digit can be zero and all digits can be…

A: make 7 digit phone number.The first number can be zero and all digits can repeated. The digits are :…

Q: Any whole number is divisible by 3 if and only if the sum of its digits is divisible by 3 TRUE FALSE

A: We have to state that the given statement is true or false.   Any whole number is divisible by 3 if…

Q: To answer this question, you will need to (a) create an integer based on the leftmost digit in your…

A:

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: Suppose that a password is exactly six characters and each character is 1 of the 26 lowercase…

A: The number of lowercase letters is 26 and the number of integers is 10.

Q: Any n consecutive integers will include a number that is divisible by n.

A:

Q: the average depth of a certain ocean is 10,551 feet below the surface of the ocean. the integer that…

A: Integers are set of numbers that include negative numbers along with whole numbers. A number greater…

Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

Q: Prove a number is divisible by 3 if and only if the sum of its digits is divisible by 3.

A:

Q: Find 3!, 7!, and 2!.

A: Factorial Rule:The total number of ways n different objects can be arranged where order of the…

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: d 3?

A: for a 4 digit even number

Q: Just out of curiosity, how many positive integer factors does 15! have?

A:

Q: A certain website requires a password to be 6 characters in length. Two of the characters must be a…

A: From the provided information, A certain website requires a password to be 6 characters in length.…

Q: True/False: Every integer greater than 1 is divisible by a prime number. True False

A:

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

A:

Q: How many real four digit numbers (they can not start with zero) can be formed from digits 0, 1, 2,…

A: Given digits is 0,1,2,3,4,5,6Total no.of digits = 7

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

A: If the 3 digited number is greater than 300, then it will start with the numbers 3, 4, 5, 6, 7, 8.…

Q: How many 3-digit numbers can be formed from the digits 2,3,5,6, and 9, which are divisible by 5, if…

A: