License plates consist of 4 digits followed by 4 upper-case letters. Plates that start with 00 are reserved for official use and are never issued to the public. Furthermore, eight profane 4-letter words are never used on license plates. How many license plates can be issued to the public, and how many are available for official use?

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: Name the number 9,258, 137, 904, 061 using words.

A: Given number is 9,258,137,904,061   To Name: The given number using words

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: Given data: The total numbers are n=7. Case-1 The total 3 digits numbers that can be formed from the…

Q: How many 4 digit house numbers are even? (note: 0351 is not considered a house number).

A:

Q: What is the value of the digit 5 in the number 35,023

A: For any five digit number ab,cde e - ones place d - tens place c - hundreds place b - thousands…

Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

A:

Q: iPhones have a 6-digit PIN number, how many different PIN numbers are possible?

A: Choices of filling 6 places are 10 I.e.. 0,1,2,3,4,5,6,7,8,9

Q: To keep computer files secure, you create a six character password. Characters can be letters or…

A: There are total 26 letters (A-Z) And 10 digits (0-9) So total (26+10)=36 choices for each character.…

Q: In a certain city in the Philippines, all seven-digit telephone numbers begin with 350. How many…

A: To determine the number of telephone numbers that can be assigned to the city, we need to consider…

Q: Outside a home, there is an 8-key keypad numbered 1 through 8. The correct five-digit code will open…

A: There are totally 8-key keypad numbers. The correct five-digit code will open the garage door. The…

Q: How many 3-digit numbers are there that are divisible either by 5. 7 or 9? <

A:

Q: Create a restricted response essay question to evaluate understanding of why when adding two digit…

A: The objective of this question is to create a restricted response essay question that can be used to…

Q: If 15 people all shake hands with each other, how many handshakes are there?

A: Number of handshakes = 15C2

Q: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

A:

Q: a number is rounded to the nearest ten, nearest hundred, and nearest thousand. all the rounded…

A:

Q: How many license plates comprised of 2 letters followed by 4 digits are possible?

A: Since we know that There are 26 alphabet in English letters (a to z) And there are 10 number ( 0 to…

Q: Some automobiles have 4 button locks. To gain entry, push each of the four buttons, in a particular…

A:

Q: Is 90 and 92 True or False

A: 90) Given that f(x)=1/x is concave downward for x&lt;0 and concave upward for x&gt;0 and thus it has…

Q: Janaia, who lives in Atlanta, bought a BMW that was produced in Germany for $38,098. Her expenditure…

A: GDР  оr  Grоss  Dоmestiс  Рrоduсt  is  the  finаl  vаlue  оf  аll  gооds  аnd  serviсes  рrоduсed…

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

Q: Compare the numbers thirty-nine billion five hundred seventy-one thousand and thirty-nine billion…

A: The objective of this question is to compare two large numbers and determine which one is larger.

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

A:

Q: A cleaning company has to clean 11 different rooms on a floor of a building. How many different ways…

A: Given: 11 different rooms

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: David Ortiz with the Boston Red Sox had the following stats one year: Singles – 82, Doubles – 48,…

A: Define, s = number of singles = 82 d = number of doubles = 48 t = number of triples = 1 hr = number…

Q: How many different five letter “words” can be made out of the letters in the word world?

A:

Q: A shipment of 520 calculators, 16 are found to be defective. How many defective calculators are…

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Q: How many words can be formed from the letters of the word: UNITED

A:

Q: Your new license plate was made just recently with the following format: 3 non-repeating letters…

A: Given ,        format of license plate-           3 non-repeating letters followed by           4…

Q: Standard automobile license plates in a particular country display 2 digits, followed by 2 letters,…

A: There are 10 digits from 0-9  There are 26 letters from A-Z   We can pick each digit in 10 ways and…

Q: A certain type of collectible toy comes in 13 different categories and there is an equal number of…

A: total number of toys 195the number of categories 13

Q: The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three-letter “words” are…

A: From given data : there is 7 consonants and 5 vowels

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.