a mulitiset is a collection of objects, just like a set, but can contain an object more than once. for example is a multiset of size 6 a. how many sets of size 5 can be made using the 10 numeric digits 0 through 9 b. how many multisets of size 5 can be made using the 10 numeric digits 0 through 9

Q: How many different possible area codes are there if an area code is 3 digits long and cannot contain…

A: From the provided information, An area code is 3 digits long and cannot contain a 0 or have 1 or 9…

Q: The table lists the number of deaths (in thousands) in a certain country during a particular year…

A: The given data is   W B I A H F 1018 168 9 35 88 M 1139 190 12 36 112

Q: each character in a password is either a digit(0-9) or lowercase letter (a-z). how many valid…

A: There is total 10 digits, such that 0, 1, 3, …., 9 and there is total 26 lowercase letters, such…

Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of…

A: Let black chips represent positive integers and red chips represent negative integers. Take the…

Q: an iPhone locks with a 5-digit code. How many codes are possible, if repetition isnot allowed and…

A: Lock of 5 digit code , Repetition is not allowedFirst digit must be 9 Number of codes = ?

Q: If a series of license plates is to be prouder that all have the same pattern of three letters…

A: Answer: Total letters=26 Numbers=0 to 9 = 10 Total number of license plates possible with repetition…

Q: 1. State whether each set is finite or infinite. alodwy a. Y (Odd numbers) b. A (Prime numbers less…

A: NOTE:- We are entitled to solve the first question, unless stated. Finite set is a set having…

Q: Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor…

A:

Q: You need to create a four digit code. You can use the digits 0 through 5. The first digit cannot be…

A:

Q: An IP address can be written as a 32-bit number. For a class B network, the two most significant…

A: Given that : An IP address can be written as a 32 bit number for a class B network the two most…

Q: In one case a byte is defined as a sequence of 8 bits. Each bit can be either zero or one. How many…

A:

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

Q: A club of 10 people wants to choose an executive board consisting of president, secretary,…

A: Introduction: A permutation is a specific arrangement of objects. Set members or elements are…

Q: Within one area code (for phone numbers), how many possible phone numbers are there? (The first…

A: 1st 2nd 3rd               The first place can be filled in 9 ways by using the digits 1-9 (as…

Q: how many possible combinations are there for computer password that must contain six letters a…

A: Each of the places can take any letters from A to Z , as no repeat condition is given. Therefore,…

Q: How many posible 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

A: We have given that 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

Q: How many different possible area codes are there if an area code is 3 digits long and cannot contain…

A: Sol:- If an area code is 3 digits long and cannot contain a 0, 1, or 9, then each digit can be…

Q: In a certain​ country, area codes have six digits and are subject to the following restrictions. The…

A: Given:In a certain country, area codes have six digits and are subject to the following…

Q: To sign-in an account, suppose 0' to 9' numbers and 'A' to 'Z' alphabets with upper case and lower…

A: Total no. of numbers=10 Total no. of alphabets=52 (26 Upper case and 26 lower cases) No. of…

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: A certain country's postal service currently uses 5-digit postal codes in most areas. How many…

A: The total number of digits is 10. They are 0 to 9.

Q: For some particular website, the password must start with one of the letters a b or c. Then there…

A: Introduction: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0…

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

A: Given Lock box consist of no.of digits=6Total no.of digits =10                   (i.e.,…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

A:

Q: A passcode contains four digits from the digits 0-9. How many different passcodes can be made if no…

A:

Q: A certain brand of shoes comes in 4 different styles, with each style available in 4 distinct…

A: A certain brand of shoes comes in 4 different styles.

Q: How many different ways a 4- digit code can be made if no digit can be used more than once

A: Four digit code are We need to form 4-digit code using  0,1,2,3,4,5,6,7,8,9 digits. The number of…

Q: How many unordered sets are there of four items chosen from six? sets

A:

Q: W contains the best fiction books of 2014 according to Goodreads. If W=W= {Landline, Big Little…

A:

Q: How many three-digit code can be made where the order of digits is not important? The possible…

A: Three digits code is to be prepared by  0,1,2,3,4,5,6,7,8,9. That is with the help of the 10 digits…

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.