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: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: How many students went to have gone to spain and france but not germany?

A: The Venn diagram is ,How many students went to have gone to Spain and France but not Germany?

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: ADJ is preparing a playlist of 20 songs. How many different ways can the DJ arrange the first six…

A:

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

A:

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

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: 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:

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: In a birthday party, each person shakes hand with every other person. If there was a total of 36…

A:

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a…

A: We have to use permutation m

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.