Using the digits 0 through 9, find out how many 4-digit numbers can be configured based on the stated conditions: 1. The number cannot start with zero and no digits can be repeated. 2. The number must begin and end with an odd digit. (Repeated digits are okay.)   3. The number must be at least 5000 and be divisible by 10. (Repeated digits are okay.)   4. The number must be less than 3000 and must be even. No digits may be repeated in the last 3 digits. (That is, 2234 would be okay, but 2334 would not be okay.)

Q: 14. The Chess League has a goal of selling 5,500 discount tickets to the local movie theater as a…

A: To find: The value of 5500 and the value of 5500÷11. Calculation: The number 5500 can be expressed…

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

A:

Q: Use 2 different arrays to show different ways to multiply to 24.

A:

Q: 14. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the…

A: In this problem, 6 digits are given. We have to make two 3-digit numbers using those exactly once.…

Q: How many four digits numbers can be made using 1, 2, 3, 4 and 0? Caution: your numbers cannot start…

A: 9

Q: Answer the following question. How many license plates are possible if you must have 8 characters,…

A: One of the methods of counting in a problem is the fundamental counting principle. The fundamental…

Q: Using the digits 2 through 9, find the number of different 6-digit numbers such that: a. Digits can…

A: Answer:- Given digits are -  2,3,4,5,6,7,8,9  Total number of digits= 8

Q: At a certain university there are 19 different time periods during which classes can be scheduled.…

A: Given that, in a certain university, there are 19 different time periods during which classes can be…

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: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: Arealtor uses a lock box to store the keys to a house that is for sale. The access code for the lock…

A: The access code contains 4 digits          Digits : 0,1,2,3,4,5,6,7,8,9 The first digit can…

Q: A company hires 5 electricians to do a job in a period of 8 days. How many days would it have taken…

A:

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

A:

Q: How many EVEN 5-digit numbers can be made from the digits 2, 4, 5, 6, 7, 8, and 9?

A: Fundamental Counting Principle The Fundamental Counting Principle is a method used to determine the…

Q: Find a number between 3.24 and 3.241, if there is one. If there is no number between them, explain…

A: Between any two distinct re numbers,  there are infinity many real numbers.

Q: How many five-letter words that have at least two consecutive letters are the same (the number of…

A: Given : Number of letter  word =5 total alphabests letter =26number of consecutive same = at least 2…

Q: Ann remembers the last four digits of a seven-digit telephone number but knows only that each of the…

A: Given that Ann remembers only last four digit of a seven digit telephone numbers and first three…

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

A:

Q: A realtor uses a lock to store the keys to a house that is for sale. The access code for the lock…

A: In this case, the number of ways to fill 1st digit is 9 except the digit 5.

Q: A realtor uses a lock box to store the keys to a house. The access code for the lock box consists of…

A: A permutation is the arrangement of elements. For example, three persons viz. A, B and C can be…

Q: English has 26 different letters. How many consecutive words have to be selected in a book to have…

A: Use the generalized pigeonhole principle which states that, “Assume N objects are placed into k…

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: .A grocery store receive the package of 950 kiwis .some of the kiwis are arranged equally in 33…

A: The following information is given in the question:-  Total number of kiwis = 950Number of boxes =…

Q: A regular license plate in California begain with a digit from 1-9 followed by three letters,…

A: Step 1: Step 2: Step 3: Step 4:

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.