The "Pick 3" at horse racetracks requires that a person select the winning horse for three consecutive races. If the first race has twelve entries, the second race seven entri

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

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Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. How many…

A: There are 8 possible runners who could win the gold medal in the first-place finish. After the gold…

Q: A basketball team contains 21 players. If 5 people can be on the court at one time, how many…

A: Given that Number of players (n)=21  Number of people on the court at one time  r=5  We have to find…

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: A group of 10 people is choosing a chairperson and vise-chairperson. They put all 19 people's name…

A: Note: given that there are total of 10 people. Thus there is only chance to put 10 peoples name into…

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

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Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: Two hundred people each purchased one raffle ticket. Three winning tickets are randomly selected. If…

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Q: In a lottery game, a player picks 9 numbers from 1 to 40. How many different choices does the player…

A: pick 9 numbers from 1 to 40. order doesn't matter. no. of ways to choose = ?

Q: One hundred twenty-five people each purchased one raffle ticket. Three winning tickets are randomly…

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Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: A chess tournament has 16 players. Every player plays every other player exactly once. How many…

A: Consider 16 players competing for a chess tournament with each player competing with the rest of the…

Q: Eight classrooms need to be painted. Teachers can choose between yellow or blue. How many possible…

A: See the details solution in below

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

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Q: ands have volunteered to perform but there is only enough time for six of the bands to play. How…

A: The techniques used to determine how many outcomes are possible in certain circumstances are…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: Ten students are chosen to compete for seven scholarships: one is for $5,000, two is for $3,500…

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Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

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Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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Q: Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can…

A: Given: Number of books = 5

Q: A class of 15 students will chose between style of course text book; one text for each student. The…

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Q: many different selections of these models and colors are possible?

A: Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the…

Q: There are six men and seven women in a class. If four men and four women are chosen and paired off;…

A: The selection of items from a larger set without regard to the order of selection is termed…

Q: From a league of 20 players, we want to choose 11 players for a football match. A goalkeeper, a…

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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.