Henry wants to choose a core subject and an elective subject from a total of 6 core subjects and 4 elective subjects offered for next semester. In how many ways he can choose the subject?

Q: At​ Luigi's favorite Italian​ restaurant, the lunch special has a selection of 7​ appetizers, 4​…

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Q: Bailey has 5 skirts, 7 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Bailey has 5 skirts, 7 blouses, and 4 pairs of shoes.

Q: On a math exam, students must answer 5 out of 7 questions from Part A and only 2 out of 4 questions…

A: Introduction: Suppose, there are n different objects. Out of the total number of objects, r objects…

Q: Forty percent of the students in a math class have brown eyes. If there are 10 students with brown…

A: Given,         Forty percent of the students in a math class have brown eyes. There are 10 students…

Q: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

A: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

Q: To create and mix a salad, you have 14 different ingredients to choose from.  You will mix the…

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Q: Phyllis teaches marketing at a local college. She wants to select one freshman and one sophomore to…

A: Given info: Phyllis teaches marketing at a local college. She wants to select one freshman and one…

Q: In a game of chips, Paul lost half of his chips in the first round, won 50 chips, then lost half his…

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Q: Tickets for a high school play cost $12.50 for adults and $6.25 for students.  If all  200 seats in…

A: Given that Tickets for a high school play cost $12.50 for adults and $6.25 for students.  If all…

Q: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

A: From the given information

Q: How many outfits could you make if you had 6 pants, 7 shirts, and 4 pairs of shoes to choose from?

A: We know that for making a outfit we need 1 pant form 6, 1 shirt from 7 and 1 pair of shoes from 4…

Q: Lauri is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages,…

A: Combination Rule: A combination is a selection of all or part of a set of objects, without regard to…

Q: Jodi delivers 54 newspapers on Saturday and 78 newspapers on Sunday. She makes bundles of 6…

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Q: Courtney is deciding on college classes to take for the fall. She plans to take 5classes: 2 STEM…

A: The number of ways r items can be chosen from n different items is equal to C(n,r) . The formula for…

Q: Mike needs 8 more classes to complete his degree. If he met the prerequisites of all the courses,…

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Q: Jack Frosty is preparing himself for another potential snowstorm by setting out all of his warmest…

A: given  2 pairs of boots 3 winter hats 3 pairs of gloves 4 jackets He has 2C1*3C1*3C1*4C1 outfit…

Q: At the restaurant i 23 En, they have 5 appetizer, 25 soup, 11 entree, and 7 dessert options. How…

A: According to the provided data, there are 5 appetizer, 25 soup, 11 entree and 7 dessert options at a…

Q: It's all about COMBINATION. -From 7 Biology books and 6 Chemistry books, in how many ways can one…

A: Given there are 7 biology and 6 chemistry books. To calculate In how many ways can one select 2…

Q: he best sports dorm on campus, Lombardi House, has won a total of 11 games this semester. Some of…

A: The addition or subtraction method of solving systems of linear equations is used to eliminate a…

Q: can be created?

A: Total Choices: 13 Appetizer 6 entree   We apply Combinations here, as we need to choose 1 appetizer…

Q: in the year 2009-2010 school year in country A, there were 91,000 foreign students from country B.…

A: Let number of tudents from country C = x21 % of x = 21100x                   = 0.21 xnumber of…

Q: n be created?

A:

Q: In year 2020, Jim was traveling for work. He packed 6 unique masks, 3 unique shirts, 4 unique pairs…

A:

Q: At the restaurant i 23 Σ π, they have 12 appetizer and 12 entree options.  How many unique 2-course…

A: Given that the restaurant,   Total appetizer is 12 and total number entrée option is 12.

Q: At the restaurant i 23 Σ π, they have 20 appetizer, 13 soup, 25 entree, and 22 dessert options.  How…

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Q: How many different outfits could you wear if you were to select from four sweaters, six pairs of…

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Q: At the restaurant i 23 Σ π, they have 21 appetizer, 6 soup, 5 entree, and 20 dessert options.  How…

A: Use combinations, to find the number of ways to select one item in each category. Number of ways to…

Q: Amber has eleven paintings and have room to display only three of them at a time on her wall. How…

A: Given that, Amber has 11 paintings and have room to display only three of them at a time on her…

Q: 3. Tom had as many stamps as Michael. After Michael gave away of his stamps, Tom had 40 more stamps…

A: First we will form the equations corresponding to the given statements then we will find the…

Q: At the restaurant i 23 Σ π, they have 20 appetizer, 5 soup, 8 entree, and 24 dessert options.  How…

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Q: At a deli counter, there are 7 sandwiches with meat and 6 vegetarian sandwiches. Deandre is at the…

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Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: Tim and Tom are both members of the school's 10 person cross-country team.  The team is told to line…

A: Given : Tim and Tom are both members of the school's 10 person cross-country team. The team is told…

Q: For a trip, eli packed 5 shirts, 3 pairs of pants, and 4 pairs of shoes. how many different outfits…

A:

Q: Ben is studying photography, and he was asked to submit 6 photographs from his collection to exhibit…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Ben has 15…

Q: At the restaurant i 23 Σ π, they have 22 soup, 6 appetizer, 16 salad, 7 entree, and 18 dessert…

A: Given: There are 22 soup, 6 appetizer, 16 salad, 7 entree and 18 dessert options at the restaurant.

Q: At the restaurant i 23 Σ π, they have 24 appetizer, 6 entree, and 19 dessert options.  How many…

A:

Q: At the restaurant i 23 Σ π, they have 6 appetizer, 5 soup, 15 entree, and 10 dessert options.  How…

A: The restaurant have  have 6 appetizer, 5 soup, 15 entree, and 10 dessert options. The unique…

Q: Julian owns 5 pairs of pants, 2 shirts, 2 ties, and 8 jackets. How many different outfits can he…

A: Given that he must wear one of each items so first we have to find the number of ways of wearing…

Q: At the grocery store, Derek has narrowed down his selections to 3 vegetables, 6 fruits, 7 cheeses,…

A: Introduction:Combination:Suppose there are n distinct items in a population. From these items, r…

Q: How many outfits could you make if you had 6 pants, 7 shirtsand 4 pairs of shoes to choose from?

A: Given he had 6 pants, 7 shirts and 4 pairs of shoesHe can chose 1 from the 6 pants and 1 from the 7…

Q: The elective courses for next year are gym, shop, art, consumer science, criminal justice, and…

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Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

A:

Q: For the hot dog eating contest for the year 2020, in Iowa, the male regional winner ate 32.5 hot…

A: Given, The number of hot dogs eaten by the male regional winner = 32.5, The number of hot dogs eaten…

Q: Three students, Josiah, Hudsonand Giannaline up one behind the other. How many different ways can…

A: There are 3 people, n= 3 And there are 3 places where they can stand. r= 3

Q: . How many different 1-scoop ice cream cones can a customer order?

A: We have given that  Types of cones = 3 Number of flavours of ice-cream = 31

Q: In a school,there is an equal number of boys and girls. How many students could possibly be in the…

A: We have to find the possible number of students in class

Q: Martha harvested 30 lemons, 25 oranges, and 12 apples from her garden. In how many ways can Martha…

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Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

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Q: icks teacher told him to get eight test tubes so he could run three different experiments. The first…

A: Given that Nicks need 8 test tubes. and cost of each test tube is 5 dollar. For the first experiment…

Q: Aisha is picking out some movies to rent, and she is primarily interested in children's movies and…

A: different combinations of 3 movies can she rent if she wants at least one comedy=  Total no. of…

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: Dwight is packing for a vacation. He is deciding which books to bring. He wants to bring one book…

A: Given :  Science fiction=3 Business ethics=10 Beet farming=9 Our aim is to find the unique…

Q: You need to fly from NYC to LA with a stopover in Dallas. If there are three different flights…

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.