M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21 colors to choose from,and customers are allowed to select up to 6 different colors.How many different color mixes are possible, assuming thatno color is selected more than once and 6 different colorsare chosen?

Q: In order to get a bachelors degree in biology, a student at IU needs to take 3 math courses from a…

A: Given: Number of math courses that are to take from a set of 7 courses  = 3 Number of chemistry…

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: At a dance, there are 20 girls and 20 boys. How many ways are there to form 20 pairs? How many if…

A: We have to use combinations to answer this problem.

Q: The town of Carson employs 15 police officers. On a typical day, 5 of the officers are to be…

A: See the attachment

Q: the diaz family is selecting a furniture set. a furniture set has a bed, a desk and dresser. there…

A: Given The different choice of beds = 2 The different choice of dresser = 2 The different choice of…

Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to…

A: We will use combination metod for solving this question.

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

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: In the Pinoy Big Brother House, the original housemates composed of 6 males and 6 females were asked…

A: Here we solve the given problem.

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: Fashion designers are trying to decide on just the right shade of blue for a new line of jeans. They…

A: Mix A, have three bottles of blue color and two bottles of white color. Mix B, have four bottles of…

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

A:

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: You have 6 friends in a class and you want to choose 3 to form a study group. What is the number of…

A: The objective of this question is to find the number of combinations of 3 friends that can be chosen…

Q: Find the number of different ways that an instructor can choose 7 students from a class of 12…

A: Here we have to find the number of different ways that an instructor can choose 7 students from a…

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A:

Q: In a class there are 20 female students and 10 male students. In how many ways a volunteer group can…

A:

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: A man has 4 shirts, 4 pairs of trousers, 3 pairs of socks and 2 pairs of shoes. How many different…

A: Given Number of shirts = 4 Number of trousers = 4 Number of pair of socks = 3 Number of pair of…

Q: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

A:

Q: A deli offers 6 different toppings. You are allowed 4 different toppings. In other words, you can't…

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 16…

A:

Q: A popular brand of pen is available in 10 colors and 4 writing tips. How many different cholces of…

A:

Q: There are 12 seniors and 8 juniors in the Mercy College Chess Club. In how many ways can a team…

A: From the given information,   There are 12 seniors and 8 juniors in the Mercy College Chess Club.…

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

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

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.