Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40 orange, 70 lemon, 30 watermelon, 20 vanilla, 10 peppermint and 40 pineapple. Assuming that the pieces of each flavor are identical. How many different ways can seven candies be chosen?

Q: There are 17 students in a class, and 5 of them will be chosen to go on a field trip. How many ways…

A: The objective of this question is to find out the number of ways in which 5 students can be chosen…

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

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Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: Assume that the candle manufacturer has 7 types of round candles and 5 types of square candles…

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

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Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

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Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro 12.9‑inch),…

A: Given data: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro…

Q: suppose that we wish to seat 10 people, 5 men and 5 women, in a row of ten chairs. in how many ways…

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Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: On Sunday mornings, I direct a church choir I am responsible for choosing the hymns. Suppose 20…

A: There are total 20 hymns. I have to pick 8 hymns. Given that the order does matter. So we can use…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.