a) Find all the possible values of 25-21

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 4 digit numbers do not have digit 0 in them.

A:

Q: In order to create a PIN to access your tablet, you have to choose six digits (where your choices…

A:

Q: How many 6-character license plates are possible if the first character must be a letter that is not…

A:

Q: How many integers from 1 through 1000 are multiples of 7 or multiples of 4?

A: Let A be the set of integers that are multiples of 7 and B be the set of integers that are multiples…

Q: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: if these five numbers form a pattern such that the differernce between each pair of numbers is the…

A:

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

Q: A website requires you to choose a username that contains 4 letters followed by 3 digits. How many…

A:

Q: How many 5 digit odd numbers can you make if the digits 0-4 are available and each digit may only be…

A: Combination of the muber

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

A:

Q: Calculate 19992 – 19982 + 19972 – 1996² +... -22 + 12.

A:

Q: c) List vertically all the ways each number 0-35 can be represented as a sum of two or more…

A: Assume that limiting the numbers to integers. Let's try a few and see if we can find a pattern:…

Q: 9:4=_:32

A:

Q: access code for the entrance of a faculty office consists of five digits. Each digit can be 0…

A:

Q: How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly…

A: Here Numbers between 1 and 10,000 have digits 1,3,5 and each appears exactly once only

Q: A state’s license plate has 7 characters. Each character can be a capital letter (A−Z), or anon-zero…

A: According to the given information, it is required to find the number of license plates that starts…

Q: Find 1000 consecutive composite integers, without writing them out.

A: Let m be a positive integer then m consecutive comoposite positive integers is given by  (m+1)! + 2,…

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

A:

Q: ind the pattern when every other Fibonacci number is added, starting with the second. F2=1 F2+F4=1+3…

A: We will use the basic knowledge of Fibonacci numbers to answer this question properly, in detail.

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.