Five paintings in an art gallery have the following names: "red," "seascape," "flower," "horse," and "envy." A sixth painting has no name. You must name it using exactly three of the five aforementioned names in any order you please without repeating a name. For instance, you could call it "red horse flower". In how may ways could you form a name

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: A person has 12 books: 4 mystery, 6 science fiction, and 2 romance. How many ways can the books be…

A: It is given that  Total books = 12 Mystery books = 4 Science fiction book = 6 Romance book = 2

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

A:

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: Possible grades for a class are A,B,C,D,F, and G. A. how many ways are there to assign grades to a…

A: There are total 6 grades in A,B,C,D,F and G.  So each student can get a grade in 6 ways.  So total…

Q: You are making a string of coloured balloons as a decoration for the formal. If you have five green,…

A: Solution: From the given information, there are five green, six gold and four white balloons. Total…

Q: A class has 32 students. In how many different ways can six students form a group for an activity?…

A: Given: Number of students, n=32. Number of students selected to form a group, r=6. The objective…

Q: If there were to be 22 boys and 8 girls at a party and the host wanted each to be given exactly the…

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.