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: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: How many distinct 4-letter words can be formed from the word “books”?

A: The given word is “books”. The distinct letters in the word are b, o, k, s which are 4. The number…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM"

A: Combination : Combination is an way of arranging the possible objects from a set of objects . Where…

Q: About 102 out of every 320 people are left handed. If 3,360 students attend Ben Davis High School,…

A: There are 102 people are left handed in 320 people. Total students in school is 3,360 . We use ratio…

Q: How many different license plates can be made if each is to display 3 numbers and 3 letters?

A: We have to find out no. Of ways...

Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: Find the number of way to arrange the letters in the word ESTRENGENT. if identical letters must be…

A:

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

Q: If a person can select five books from a list of ten, how many different combinations are there?

A: Given data: The total numbers of books are n=10. The number of books selected is r=5. The expression…

Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

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: a) How many three-digit numbers less than 700 can be made using the digits 9, 7, 4, and 2? (Each…

A:

Q: If a family has six children, in how many ways could the parents have two boys and four girls?

A:

Q: The number of arrangements of the letters of the word WASHINGTON, if the ASH must be together in any…

A: In this question we have to find Arrangement of word WASHINGTON and ASH always comes together.

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: Tonya's ZIP code is 15760. How many zip codes altogether could be​ formed, each one using those same…

A:

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: In a certain state, all car license plates have four capital letters followed by three digits. How…

A: We know that, No. Of alphabets= 26 No. Of digits= 10

Q: In a bag of Jolly Gems candy-coated chocolate pieces, 26% are red, 21% are blue, 15% are brown, 16%…

A:

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: From 1, 3, 5, 7, and 9 how many 4-digit numbers can be formed? Note: each digit can be used only…

A: Given ,5 numbers 1,3,5,7,9 respectively. We need to calculate how many four digits number can be…

Q: If 20 women are entered in the Miss Georgia contest, in how many different ways can the judges…

A: Given that 20 women are entered in the Miss Georgia contest.

Q: If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word, how…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: From a list of 34 captains, 6 are to be promoted to major. In how many ways can this be done?

A: To write that in how many ways it can be done

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: How many three-digit numbers can be formed from the digits 1, 2, 3, 5, and 6, if each digit can be…

A:

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: How many different words can be formed with the letters of the word ?

A: From the given information we want to know number of ways .

Q: How many words (with or without any meaning) can be formed by arranging the letters in the word…

A: Given word MEDITERRANEAN So we have total 13 alphabets But E - 3 times R- 2 times A - 2 times N- 2…

Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

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

A:

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: In a certain state, all car license plates have four capital letters followed by three digits. How…

A: Given Car license plates have 4 (A to Z) capital letters followed by 3 (0 to 9) digits

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: In a 26 letter alphabet, how many 5 letters ‘word’ are there made up of different letters?

A:

Q: How many license plates can be made using either two or three letters followed by either two or…

A:

Q: A recording engineer wants to make a CD with 6 songs.  In how many different ways can the CD be…

A:

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: If there are three routes from Detroit to Chicago and 8 routes from Chicago to Michigan, how many…

A: We can reach Chicago from Detroit in 3 ways. We can reach Michigan from Chicago in 8 ways.

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

A:

Q: In a certain state, license plates each consist of 3 letters from the English alphabet, followed by…

A: There are 26 letters (A-Z) in the English alphabet and 10 digits (0-9).   Use the fundamental…

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: From a group of 10 physicians, in how many ways can four people be selected to attend a conference…

A:

Q: How many different four-letter radio station call letters can be formed if the first letter must be…

A: We have to form different four-letter radio station call letters with condition that first letter…

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  Decorum…

A: For every three-letter combination outlawed, the number of possible plates that get removed is given…

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.