In your closet, you have 15 tops, 10 bottoms, and 8 pairs of shoes. How many ways can you dress yourself in the morning?

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

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Q: ts, a

A: To find : Whether the clothing combination is of Asha is more or less when compared tp Rosa.

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

A: The total number of ways in which n different items can be arranged, is given by n! where n! can be…

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

Q: There are 8 boys and 7 girls in the debate team at Central High School. In how many ways can a…

A: We have 8 boys and 7 girls in the debate team.  We need to make a team consisting of 4 members, such…

Q: A boy owns 7 pairs of pants, 6 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: We  use rule of multiplication, to find the solution

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: There

A: Please refer to the image below

Q: A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport…

A: Given: Number of arcade =11 Number of sports game =7

Q: An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings. a. How…

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Q: He can wear ?  different outfits.

A: Juan owns 1 pairs of pants, 5 shirts, 4 ties, and 1 jackets.

Q: There are 148 juniors and 272 seniors attending prom this year. If there must be three chaperones…

A: Given there are 148 juniors and 272 seniorsTotal students=148+272=420Given that there must be 3…

Q: Inside Juyeon’s closet he has 10 pairs of pants, 23 pairs of shirt and, 15 pairs of jacket. How many…

A: Solution:Given  Inside Juyeon’s closet he has 10 pairs of pants, 23 pairs of shirt and, 15 pairs of…

Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: Lewis has 4 pairs of pants, 3 polo shirts, and 2 pairs of shoes. How many outfits can he wear?

A: Given: Lewis has 4 pairs of pants, 3 polo shirts, and 2 pairs of shoes

Q: my favorite bagel shop has 12 bagels, 10 types of cream cheese, and I can choose to have a toasted…

A: There are 12 types of bagels. 10 types of cream cheese. And 2 types of toast.

Q: A boy owns 5 pairs of pants, 5 shirts, 5 ties, and 7 jackets. How many different outfits can he wear…

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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: Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of…

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

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Q: piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. in how many ways can i select…

A: Given, piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. We have to select only…

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: Sebastian is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of…

A: We are given  Pairs of pants= 4 options T-shirt =6 options Sweaters or hoodies =5 options Pair of…

Q: A ballroom dance couple has learned 7 different routines and is going to perform 6 of them at a…

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

Q: Maria needs to take three physical education classes in order to graduate. Her college has 12…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: Given : Total number of friends = 5 Number of friends can bring = 3

Q: Pizza House offers 2 different salads, 2 different kinds of pizza, and 5 different desserts. How…

A: A 3-course meal has to have 1 salad, 1 pizza and 1 dessert. We have 2 choices for salad We have 2…

Q: An ice cream shop offers 12 different flavours, 8 different kinds of sauce, and 6 toppings. How many…

A: Ways of choosing three ice creams from 12 is  C312 = 12×11×103×2= 2×11×10= 220   Ways of choosing…

Q: Out of 800 families with 5 children each, how many would you expect to have, (i). 3 boys (ii) Either…

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Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different out he must wear…

A: From the provided information, A boy owns 3 pair of pants, 1 shirt, 7 ties and 5 jackets.

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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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 boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different outfits can he wear…

A: Solution

Q: A ballroom dance couple has learned 12 different routines and is going to perform 8 of them at a…

A: first we have to select any 8 routines out of 12 routines  which is equal to 8C2 And then arrenging…

Q: A bag contains 15 plastic eggs, each with a different prize. Trevor picks out 3 of the eggs. How…

A: Given that, Bag contains 15 plastic bags. Trevor picks out 3 of the eggs How many different sets…

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

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Q: There are 364 first grade student in park elementary school if there are 26 girls than boys, how…

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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: A boy owns 4 pairs of pants, 8 shirts, 2 ties, and 8 jackets. How many different outfits can he wear…

A: Given, Pairs of pants= 4 No of shirts= 8 No of ties= 2 No of jackets=8   Possible combinations=?

Q: A college plays 12 football games during a season. In how many ways can the team end the season with…

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Q: For a trip, eli packed 3 shirts, 3 pairs of pants, and 2 pairs of shoes. how many different outfits…

A: For a trip, eli packed 3 shirts, 3 pairs of pants, and 2 pairs of shoes.

Q: jason has 8 different marbles. How many ways can he store 5 marbles in his right pocket and 3…

A: We have given that Jason has 8 different marbles.

Q: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

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Q: A different class has 275 ​students, and 56.4​% of them are men. How many men are in the​ class?

A: The total number of students in a class is 275 out of which 56.4 % are men.

Q: Elsa must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs…

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Q: A boy owns 7 pairs of pants, 1 shirts, 4 ties, and 7 jackets. How many different outfits can he wear…

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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…

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Q: A boy owns 1 pairs of pants, 2 shirts, 8 ties, and 6 jackets. How many different outfits can he wear…

A: Given that Number of pairs of pants a boy owns=1 Number of shirts=2 Number of ties=8 Number 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: A mother of 9 children bought 2 chocolate ice cream cones, 3 strawberry ice cream cones, and 4…

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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.