Many college honor societies are named using three Greek letters. If there are 24 letters in the Greek alphabet, and only capital letters are used, how many society names can formed if the letters cannot be repeated?

Q: The password for a new online gaming site must contain three letters followed by four digits. The…

A: Given that there are 3 letters in the password and the letters can not repeat. There are 26 letters…

Q: How many different license plates have the letters J-O in that order?

A: It is given that license plates consist of four digits from 0 to 9 followed by four letters.

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

Q: There are five pictures but only four display cases. The display cases are unique. How many…

A: The number of pictures is 5. The number of display cases is 4. The display cases are unique.

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: 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: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

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: In how many ways can six books be lined up along a shelf?

A:

Q: In how many ways the letters of the word “ROLLER” can be arranged?

A:

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

Q: How many different​ 4-letter acronyms can be made if the first letter must be E, X, or P and no…

A: Following solution is provided below

Q: How many six-digit license plates can be made if no plate begins with 0 or 6

A:

Q: How many different arrangements of the letters in the word "number" can be made?

A:

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

A: Number of handshakes = 15C2

Q: How many arrangements can be made with the letters of "common"

A:

Q: A job interviewer has set 10 questions with four answer options and one correct answer. In how many…

A: The number of ways for two events to occur in a sequence is p×q. Here, p is the number of ways the…

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: A four digit numbers can formed using only the digits 1, 2, 3, 4, 5, 6 (no repeated digits), How…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: If a number is divisible by 121, is it divisible by 11?

A: Given. We need to find if a given number is divisible by 121 then whether it is divisible by 11 or…

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: There are 15 children in soccer training squad. A team consist of 11 players. If two children can…

A: Given: 15 children To find: Solution

Q: ind the number of permutations of the letters in the word TENNESSEE

A:

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

A:

Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

A:

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

A:

Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

Q: How many different 5-letter words can be made using all the letters in the word FELICIDAD?

A: The word "FELICIDAD" has 9 letters, but for a 5-letter word, choose 5 letters out of these 9. This…

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

A:

Q: In how many ways can the letters in the word ARGOS be arranged?

A:

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.