A box of chocolates contains seven milk chocolates and eight dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. The first piece is milk chocolate and the second piece is dark chocolate.

Q: A bag contains three red marbles, two green ones, one lavender one, three yellows, and three orange…

A: At most one of the yellow ones means 0 or 1 yellow ones. There are 3 yellow marbles.  And…

Q: A box of chocolates contains seven milk chocolates and eight dark chocolates. You randomly pick a…

A: It is given that Number of milk chocolates = 7 Number of dark chocolates = 8 Total chocolates = 15…

Q: Don has nine pairs of shoes, six pairs of pants, and seven shirts. If all items are compatible, how…

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Q: 1.    Edmund, living alone, stays next door to his sister who bought the Honda car and very from his…

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Q: A restaurant offers 7 choices of main course, 8 sides, 5 appetizers, 7 beverages, and 3 desserts.…

A: Main course  = 7 Sides = 8 Appetizers = 5 Beverages =7 Desserts = 3 We have to find the total number…

Q: A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. R B R R R R…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

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Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

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

A: Since it is given that the A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets.

Q: A restaurant offers a menu with 5 appetizers, 5 main dishes, and 4 desserts.  If Zoey is low on cash…

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Q: The Butler family is selecting a furniture set. A furniture set has a bed, a desk and a dresser.…

A: Given data: A furniture set has a bed, a desk and a dresser.  3=  beds, 1 = desk,  3  = dressers To…

Q: A sushi restaurant offers a three-course buffet lunch. Each customer must make one selection from…

A: The customer can select 1 item : from the reddish range in 5 ways. from the yellow dish range in 6…

Q: A certain eatery offers a meal that serves a combination of a soup, sandwich and beverage. There are…

A: The given data is: Two kinds of soup (corn or asparagus) 4 sandwiches (chicken, ham, mushroom, or…

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

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Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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Q: in a physiology class, a student must dissect three different specimens. The student can select one…

A: This question can be solved using the concept of combination.

Q: Two boxes, A and B, contain 2 balls and 6 white, and B contains 2 red and white. If one of the boxes…

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Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: The given question requires number of pairs between two teams. Note that if team A and team B are…

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and five…

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Q: You and 3 friends are moving into a new apartment-style dorm. The dorm has 3 bedrooms, one with two…

A: There are totally 4 members. These 4 members must be arranged in 3 bed rooms. One bedroom has two…

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

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Q: In a competition, a school awarded medals in different categories. 36 medals in dance, 12 medals in…

A: Let A = set of persons who got medals in dance.Let B = set of persons who got medals in…

Q: joining a music club. As part of her 4-CD introductory package, she can choose from 12 rock…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: Your favorite restaurant offers a total of 14 desserts, of which 8 have ice cream as a main…

A: From the provided information, Number of deserts with ice cream as a main ingredient = n (A) = 8…

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 boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

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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: A man owns 6 pairs of pants, 7 shirts, 8 ties, and 2 jackets. How many different outfits can he wear…

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Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

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

Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

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Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both…

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Q: A bag contains three red marbles, three green ones, one lavender, two yellows, and three orange…

A: Solution: From the given information, a bag contains three red marbles, three green ones, one…

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: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A: Given data : Number of appetizers= 5 Number of entrees= 4 Number of desserts= 3 Number of beverages=…

Q: A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the…

A: Given, A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank…

Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

Q: Dr. Lawrence plays in a 10-team dynasty football league, where the top six teams make the playoffs.…

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Q: A cooler contains thirteen bottles of sports drink: eight lemon-lime flavored and five orange…

A: Here as PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  Here use basic of probability Probability…

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

A: Total number of marbles, n = 3 red + 1 green + 1 lavender + 3 yellow + 3 orange = 11 Number of red…

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: An ice cream parlor has six flavors of ice cream. Kristen wants to buy two flavors of ice cream. If…

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Q: A public health inspector wishes to inspect four restaurants by the end of the week. She has a list…

A: Given: Number of high-risk premises restaurants is 26, that is, x1=26. Number of medium-risk…

Q: A college biology teacher wants to know whether being tutored at the study lab will help her…

A: Here teacher wants to know whether being tutored at the study lab will her students for scoring high…

Q: A boy owns 2 pairs of pants, 7 shirts, 4 ties, and 5 jackets. How many different outfits can he wear…

A:

Q: A box of chocolates contains five milk chocolates, five dark chocolates, and three white chocolates.…

A: We have given that  A box of chocolates contains 5 milk, 5 dark and 3 white chocolates i.e. total 13…

Q: There are 3 people on the soccer team committee.  Members are chosen randomly to be the president,…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

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.