The trifecta at most racetracks consist of selecting the first-, second-, and third-place finishers in a particular race in their proper order. If there are five entries in the trifecta race, how many tickets must you purchase to guarantee a win? You must purchase __ tickets.

Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In…

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Q: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

A: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Given  A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies.…

Q: USA today reported that about 20% of all people in the United States are illiterate. Suppose you…

A: Let success be defined as literate people. Probability i=of literate people (or success) is p=0.8…

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: How many 5 card hands from a standard deck have at least one card of each suit?…

A: For a five-card hand to have one card in each suit, it must be the case that the hand contains two…

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

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Q: Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different…

A: Solution: If there are n objects and are arranged with the order r, then the permutation should be…

Q: In the 2012 presidential election, a total of 7,867,867 votes were cast in a certain state for…

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Q: A survey of 1200 people in a certain city indicates that 870 own microwave ovens, 750 own DVD…

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Q: A city in Sweden has 149,300 inhabitants. We divide the people in the city into groups where…

A: GivenThe total number of digits can be selected from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.The number of ways…

Q: 9.) How many cards should you pick in a deck making sure that at least two of the cards will be of…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: How many months, weeks, and days are there between May 4, 2014 and August 23, 2014?

A: given the date from May 4 2014 and August 23 2014 we need to calculate the number of months , weeks…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: In Cavite, there is a certain breed of cat which has its first kitten on its second birthday and…

A: Consider the given information, So, we have, Number of kitten in 2006 is equal to 1. Number of…

Q: A company received a shipment of 36 laser printers, including 6 that are defective. 3 of these…

A: The combination rule is depicted as : a). Given:  n=36 r=3 The calculations are as follows:…

Q: 2. Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze meda will be…

A: Solution: Total number of runners = n= 9  Number of medals = Gold, Silver and Bronge= r= 3

Q: An election balot asks voters to select six city commissioners from a group of twelve candidates In…

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Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: 4. Find the number of different ways that a family of 6 can be seated around a circular table with 6…

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Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: Find the number of permutation if five 1,000- peso bills, three 100-peso bills, and two 50- peso…

A: Given: Number of 1000 peso bill = 5 Number of 100 peso bill = 3 Number of 50 peso bill = 2

Q: The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place…

A:

Q: State whether each arrangement represents a permutation or a combination.   a. 8 people seated…

A: Arrangement classification- Permutation or Combination

Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third…

A:

Q: Arestaurant offers a 512 dinner special that has 5 choices for an appetizer, 11 choices for an…

A: Given information 5 choices for appetizer 11 choices for an entrée 3 choices for desert

Q: In how many ways can first, second, and third prizes be awarded in a contest with 840 contestants?…

A: We have to find number of ways to distribute the awards.

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

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Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: Five cards are drawn from a standard deck of 52 cards. How many hands of five cards contain exactly…

A: Total hands of five cards contain exactly one spade​ = 13*82251 = 1069263

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

A: Given info:Five active players available on roster to play outfield.

Q: You are running in a marathon with 28 total racers in which first, second, and third place are…

A: We have to find total outcomes for this race.

Q: Who is the first black president of South Africa

A: The first black president of South Africa

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: Refer to a deck of fifty-two playing cards (jokers not allowed). (a) How many five-card poker hands…

A: Total number of cards in the deck = 52 Number of aces in the deck = 4 Number of tens in the deck = 4…

Q: How many disitinctly different Facebooks can you create that have exactly three distinct individuals…

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Q: Arestaurant offers a $12 dinner special that has 5 choices for an appetizer, 11 choices for an…

A: Number of different ways to choosen r items from n items  =ncr

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: In a race and which six automobiles are entered and there are no ties, and how many ways can the…

A: Solution: From the given information, there are six automobiles.

Q: 10.) How many birth certificates do you need to guarantee that there are at least 2 people who have…

A: We have to find nom of certificate required

Q: Find the number of full houses in a poker hand, that is, the number of poker hands with three of a…

A: Let there be 4C3 =4 by choosing the 3 cards of the same typesand 4C3 =6  by choosing…

Q: 2 evolved and the avis

A: If a function y = f(x) in the range for a ≤ x ≤ b, is rotated about x axis then the surface area, S…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

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Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Solution: We have to find out answer

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

Q: Micah owns all thirteen books in the A Series of Unfortunate Events series. In how many different…

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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.