You have 13 sweet candies that taste the same and 7 sour candies that taste the same, but all 20 candies have different colors. Please answer the following counting questions and include a brief explanation of your reasoning. (a) In how many ways can you eat the candies if what matters is the sequence of colors?

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: Miriam's art teacher presents her with five colors of paint but instructs her to use only three of…

A:

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

A:

Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

A:

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

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

Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

A:

Q: How many ways can you arrange 6 of 11 different books on a shelf?

A:

Q: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and  two different styles…

Q: You are a professor of journalism and have 14 students in your class. You tend to call on students…

A: It is given that, There are 14 students in your class. professors can choose 6 students during your…

Q: In a lottery game, a player picks 9 numbers from 1 to 40. How many different choices does the player…

A: pick 9 numbers from 1 to 40. order doesn't matter. no. of ways to choose = ?

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: The model of the car you are thinking of buying is available in seven different colors and four…

A:

Q: You and nine of your classmates are attending an event. How many ways can you be arranged in a…

A: You and nine of your classmates are attending an event.so total number of classmates  =10

Q: What does the numbers mean in a 40;20;10; sequence or a 10;40;20; sequence?  Is the 40, the number…

A: Given: The first sequence is: 40;20;10 The second sequence is: 10;40;20; We have to determine that…

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: There is a class where every student either wears glasses or has dyed hair. There are 35 students in…

A:

Q: #3) If your class has four tests and you get grades of: 72, 85, 79, 91 What is your test average?

A:

Q: igh school classes will be chosen to participate in a school activities survey. There are 21 high…

A: Given:6 high school classes will be chosen to participate in a school activities survey.There are 21…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7, 7, 8, and 8?

A: To Determine: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7,…

Q: Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks,…

A:

Q: There are 54 runners in a race. How many ways can the runners finish​ first, second, and​ third?

A: Note - Assuming for each position there is only one runner.

Q: Show work please In a company, you need to pick from your employees to be the manager, the…

A: We have 6 different person to choose for 6 positions from 19 employees.

Q: A class has 35 students. In how many different ways can five students form a group for an activity?…

A: According to the given information, we haveA class has 35 students.