At a buffet restaurant, 70 customers select tacos, 115 customers select pizzas, and 16 customers select both tacos and pizzas. How many customers select at least one of these food items? (Enter your answer in the box below)

Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a…

A:

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

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: Forty women were asked regarding 2 known brands of bag, it was found out that:   15 women use…

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Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89with…

A: We have given,

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

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Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: A hamburger shop sells hamburgers with cheese, relish, lettuce, tomato, onion, mustard, or ketchup.…

A: Given data we have Cheese, relish, lettuce, tomato, onion, mustard, or ketchup hamburgers Total…

Q: In the UTAS-Ibri with 1000 students, 392 students are taking a course in Mathematics, 498 are taking…

A: Given - In the UTAS-lbri with 1000 students , 392 students are taking a course in Mathematics, 498…

Q: A student club consists of 10 freshmen and 8 sophomores. How many different four-person committees…

A: A student club consists of 10 freshmen and 8 sophomores.

Q: While scanning through the dessert menu of your favorite restaurant, you notice that it lists 8…

A: given that 8 dessert that include yogurt, fruit or both…

Q: A baseball team takes a road trip and plays 6 games. In how many ways can they win 4 and lose 2…

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Q: The university of Montana ski team has 8 entrants in a men’s downhill ski event. The coach would…

A: Permutations: The number of permutations of r items selected from n items is, Prn=n!n-r! The…

Q: Three concerned environmentalist started an organization that aims to help preserve mother earth.…

A: For the first meeting, three members attended the meeting first meeting = 1+1+1=3   for the second…

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: Every white car in the Ela Motors car yard was a Toyota Twin Cab. Half of all the red cars were…

A: Please see the below picture for detailed solution.

Q: In a party, there are 10 people with white shirts and 8 people with red shirts; 4 people have black…

A:

Q: At an appliance store’s grand-opening sale, 152 customers bought a washer or a dryer. Looking at the…

A: Here we have to find the number of customers who bought only washer. The solution is following .

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: the United States, approximately 71 million of the 200 million cars and light trucks in service have…

A: Given data, Total cars n=200 million Cars which have driver-side airbags =71 million The proportion…

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: The park rules require that on duty for every 50 people who visit the parl How many guards should be…

A: The park rules require that one security guard be on duty for every 50 people who visit the park.…

Q: A fan of country music plans to make a custom CD with 12 of her 25 favorite songs. How many…

A: Given dataTotal songs N = 25 No of combinations for size 12 is given by

Q: While scanning through the dessert menu of your favorite restaurant, you notice that it lists 8…

A: Given that: Total number of desserts = 8 Number of desserts include yogurt = 6 Number of desserts…

Q: A girl has 9 skirts, 4 blouses, and 6 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: 5) Given that the girl has 9 skirts, 4 blouses and 6 pairs of shoes. Total number of ways 9+4+6=19…

Q: a card store received a shipment of 12 cartoons of sports cards . Each cartoon contains 20…

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Q: or a particular event, 697 tickets were sold for a total of $5250. If students paid $6 per ticket…

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Q: A boy owns 6 pairs of pants, 3 shirts, 5 ties, and 2 jackets. How many different outfits can the boy…

A: The boy owns 12 pants, 3 shirts, 5 ties and 2 jackets. Now each outfit must consist of one of each…

Q: There are 40 students registered for a multi-sport camp. There are 5 students who will play Hockey…

A: We can solve this problem using vein diagram.

Q: Erin invited three couples to watch a theater musical sponsored by my husband. If the 6 VIP seats…

A: There are total three couples.

Q: There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books…

A: Concept:

Q: Nine athletes from a co-ed track team stop for lunch. The men eat four pieces of pizza each, the…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: A box contains 206 marbles which are either red or blue. There are 36 more blue marbles than red…

A: Total marbles = 206 There are 36 more blue marbal then red

Q: In the UTAS-Ibri with 1000 students, 310 students are taking a course in Mathematics, 498 are taking…

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

Q: coffee shop offers 14 different types of flavor shots. If a customer can choose any number of flavor…

A: Given a coffee shop offers 14 different types of flavor shots.

Q: In a group of 65 video game players, 50 bought the new Pokemon game that comes in two versions. 30…

A: The formula for the union of the sets is n(A∪B)=n(A)+n(B)n(A∩B). Here, A and B are two sets. The…

Q: An ice-cream shop offers 3 types of cones, 20 flavors, and 4 different toppings (crushed peanuts,…

A: Here, the customer chooses from 3 types of cones, 20 flavors, and 2 different toppings. Because,…

Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…

Q: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: A fan of country music plans to make a custom CD with 14 of her 26 favorite songs. How many…

A:

Q: A committee is going to select 30 students from a pool of 1000 to receive scholarships. How may ways…

A: It is given that a committee is going to select 30 students from a pool of 1000 to receive…

Q: Eight runners are hoping to take part in a race, but the track has only six lanes. In how many ways…

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Q: A contractor has three styles of homes, each with three styles of garages, two styles of decks, and…

A: Answer: First we need to list all the possible selections and the number of choices that each…

Q: While scanning through the dessert menu of your favorite restaurant, you notice that it lists 10…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

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Q: There are 125 students in a class. At least how many students came from the same state if there are…

A: There are 125 students and 16 states We divide 125 by 16 to find the least number of students from…

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.