In the Superfecta, one must pick the first four finishers of a horse race in correct order. If there are 10 horses running in a race, how many different tickets are there?

Q: A street vendor sells six different kinds of fresh fruit: apples, bananas, oranges, pears, kiwis and…

A: Given that , a street vendor sells six different kinds of fresh fruits each worth $1. To find the…

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings? Your answer is:

A:

Q: One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. How many…

A: Professor chooses 5  out of 12 homework problems To find : number of groups of 5 problems can be…

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

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Q: A person going to a party was asked to bring 5 different bags of chips. Going to the store, she…

A: From the given information, There are 18 varieties. A person going to a party was asked to bring 5…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: In a best-of-seven series in the Philippines Basketball Association (PBA) tournament, the team who…

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Q: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery  requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: 1) Laura found 32 plates that each had % of a pie. If Laura put all the pieces of pie into whole…

A: I supposed to do first question as our company guideline. Please repost other question as next…

Q: Mr Hudson, the principal at Hoover High School, counted 31 seniors absent on Senior Skip Day. if…

A: Topic:- persentage

Q: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: Only 30% of teams beat The Great Escape Challenge. If 15 teams beat the challenge, how many teams…

A: It is given that 15 teams beat the challenge, which is the 30% of the teams that played The Great…

Q: If there were only 9 Runners on the team last year how many females were there on the team this year

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Q: In how many ways can 5 people be seated in a circular table?

A: The given question is a multiple question, so as per the rule , we are doing only first question:…

Q: At a raffle promo of 200 people, 5 will be chosen to receive the major prizes. Assuming these prizes…

A: The arrangement of data in an orderly way, they can be represented using two ways. They are…

Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A casting director wishes to find one male and one female to cast in his plate if he plans to…

A: Given Male=9 Female=14

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: How many different ways are there for the 10 people to stand in line to buy movie tickets?

A: How many different ways are there for the 10 people to stand in line to buy movie tickets?

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

A:

Q: A person going to a party was asked to bring 4 different bags of chips. Going to the store, she…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r!

Q: In how many ways can you arrange 4 people to be seated in a round table?

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Q: How many multiples of 4 lie between 10 and 250?

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 ways 4 people out of 20 can be sited on a bench for 4 persons?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the number of different ways that an instructor can choose 6 students from a class of 29…

A:

Q: Find the number of ways to arrange three tennis player in a bench.

A: To find: The number of ways to arrange 3 tennis player on the bench. Concept used: The number of…

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

A:

Q: In one of the Florida lotter games, one has to match six numbers out of 49 numbers to win. How many…

A: In order to win the lottery, 6 out of the 49 numbers has to match. So if we calculate the total…

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

A:

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

A:

Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The…

Q: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

A:

Q: How many multiples of 4 are there between 5 and 125?

A:

Q: Find the number of different ways that an instructor can choose 3 students from a class of 29…

A: Find the number of different ways that an instructor can choose 3 students from a class of 29…

Q: If a cube had been rolled 200 times, how many times would you expect a sum of 2 to be rolled?

A: From the table, we see that the sum of 2 rolled 3 times. In the table total number of rolls= 3+2+…

Q: A person going to a party was asked to bring 5 different bags of chips. Going to the store, she…

A: Given : A person going to a party was asked to bring 5 different bags of chips. Going to the store,…

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

A:

Q: Find the number of different ways that an instructor can choose 3 students from a class of 22…

A: From the provided information, There are 22 students from which 3 students will be chosen for a…

Q: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

Q: A raffle sells 1000 tickets for $5.00 a piece. In how many different ways can the the top prizes of…

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.