There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another 5 ways to get from Town C to Town D. In how many different ways could we get from Town A to Town D?

Q: You have 6 math books and 6 history books to put on a shelf with five slots. In how many ways can…

A: If a particular event can be done in n different ways and an other event can be done in m different…

Q: There are two roads between towns A and B. There are three roads between towns B and C. How many…

A: There are two roads between towns A and B, and three roads between towns B and C. The number of…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: Town M and town N are connected by two roads while town N and town P are connected by five roads.…

A: There are 2 different roads connecting town M and town N. This shows that there are k=2 different…

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do…

A: Solution

Q: If you want 30 shirts and you need to pack for shirts for a trip how many ways could you pick the…

A: This question is a arrangements question

Q: There are 3 ways to go from A to B and 4 ways to go from B to C. How many different ways are there…

A:

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: A lady has 4 dresses and she want to bring 2 of them with her on the trip. How many ways to choose 2…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

A:

Q: How many ways are there to go from B to D?

A: here given  A boy lives at B and wants to go to school at D. From his home B he has to first reach C…

Q: boy lives at X and wants to go to School at Z. From his home X he has to first reach Y and then Y to…

A:

Q: A class of 20 students is seated in a classroom with 5 rows of 4 seats each. How many ways are there…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: If there are 3 roads from Town A to Town B and 4 roads from Town B to Town C, in how many ways can…

A: there are 3 ways to go from A to B  4 ways to go from B to C  3 ways to go from C to B as we can not…

Q: Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class…

A: Given that  Mr Regpala needs the help of 6 students from the class to help him move some supplies…

Q: A, B, C, and D are going to ride in A’s car to go to the mall. But only A and C know how to do drive…

A: Given, The number of individuals is 4 The individuals are A, B, C and D. The number of front seats…

Q: There are four different trails to the top of a mountain. In how many ways can a person hike up and…

A: given that There are four different trails to the top of a mountain. In how many ways can a person…

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

A: Given :  A Car seats 5 people, including the driver. You have 8 friends who all need you to drive…

Q: Alonzo is doing research for the city newspaper on the six topics listed below. He can choose to…

A: According to the given information, it is required to determine the number of ways in which Alonzo…

Q: There are two roads between town A and B.There are three roads between town B and C. How many…

A: Number of ways we can travel from A to B is n1 = 2 ways     Number of ways we can travel from B to C…

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

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.