A combination lock uses three numbers between 1 and 36 with repetition, and they must be selected in the correct sequence. Is the name of "combination lock" appropriate? Why or why not? Choose the correct answer below. O A. No, because the multiplication counting rule would be used to determine the total number of combinations. O B. Yes, because the combinations rule would be used to determine the total number of combinations. O C. No, because the permutations rule would be used to determine the total number of combinations. O D. No, because factorials would be used to determine the total number of combinations.

Q: To name her doll Estella pulled a name from a jar containing the following names, Alicia, Chanel,…

A: There are total 10 names in the bag. So Estella can pull a name in 10 ways. Her sister can pull a…

Q: Instruction: Do not round your intermediate and round final answer to nearest integer. How many new…

A: Average number of skiers in the village for 10 days = 1400

Q: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

A:

Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

A: 1. Number of people standing in a line = 8 If the people are arranged in a line at a movie theater,…

Q: Bread Мeat Cheese Sides White (0.5) Wheat (0.4) Italian (0.1) Ham (0.3) Turkey (0.7) American (0.8)…

A: Given information: The given information is as follows:

Q: Willy Wonka gives everyone who visits his factory 11 pieces of candy to take home. He never gives a…

A: To find the total number of ways Willy Wonka can distribute candy to visitors without repeating the…

Q: The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds to switch…

A:

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A:

Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

Q: A department chair has 18 faculty and needs to assign them to 4 courses in the same time slot. In…

A: It is given that the department chair has 18 faculty and they need to assign 4 courses in the same…

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: It is given that Total number of cookies n = 6 Number of cookies to be selected r = 4

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.