15. 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? 1320 220 12 60

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: Suppose we want to choose 5 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

Q: In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks…

A: Sol

Q: since 3+3=6, what is 1+1?

A:

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: 36. The price of a European tour includes four stopovers to be selected from among 10 cities. In how…

A: If the order of stopovers matters then we use permutation to choose 4 stopovers among 10 cities,…

Q: 2. Five boys and four girls are waiting for the MRT to arrive at Guadalupe Station. In how many ways…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: How many three-letter "words" (some may be nonsense words) can be made from 5 letters "FGHIJ" if…

A:

Q: 2. Ms. Liu tells you that on each weekday, visitors return to her website an average of twice, and…

A: Given: data of visitors

Q: c) There are 18 boys and 13 girls in an English class. During class, there is time for 6 students to…

A:

Q: 1. P(6, 2)*P(5, 3)/P(4,3)

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems. These 2 are…

Q: 3. Answer the following: (i) In how many ways can 3 boys and 2 girls sit in a row? (ii) In how many…

A: Here will use the concept of permutations and arrangment Given that  Number of boys = 3 Number of…

Q: 9. There are 5 different roads from City A to City B and 3 different roads from City B to City C. In…

A:

Q: Frank is inviting 6 friends to dinner. He has 10 close male friends and 20 female friends. How many…

A: Given, No of males = 10 No of females = 20 No of invitations = 6

Q: 3. How many words which start with an A can be written with 9 A's and 13 B's such that there are…

A: The objective is to find there are how many words that start with A and can be written with 9A's and…

Q: 13b) Suppose the number of permutations without replacement is 720 and the number of combinations…

A:

Q: A rectanqular table Seats 14 people Iperson on each end and 6'on each of the longer side S- Thus…

A: Given that a rectangular table seats 14 people 1 person on each side and 6 on each of the longer…

Q: If we have 100 (identical) tennis balls and 40 identical bags to place them in, how many ways are…

A: There are 100 balls and 40 bags, if each bag is non empty then first fill each bag with 1 ball. This…

Q: Because of her work schedule, Molly Kay plans to take classes at 8:00, 10:00, and 11:00. Five…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

Q: 10 - In a group of 30 people, 15 run, 13 swim, 13 cycle, 5 run and swim, 8 cycle and swim, 9 run and…

A: given in a group of 30 people , 15 run , 13 swim , 13 cycle , 5 run and swim , 8 cycle and swim , 9…

Q: 9. There are 5 roads leading to a town from a village. The number of different ways in which a…

A:

Q: (Show your solutions) From 5 statisticians and 6 economists, a committee of size 6 is to be formed.…

A: According to bartleby guidelines expert can solve maximum three subparts of the first question. And…

Q: 11. Suppose that a department contains 15 men and 10 women. How many ways are there to form a…

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Q: the 1,6,15,20,15,6 come in as part of the answer

A: Here, used NCR formula NCR formula is used to find the number of ways where r objects chosen from n…

Q: Suppose there are four routes from North Point to Boulder Creek, three routes from Boulder Creek to…

A: there are 4 routes from North Point to Boulder Creek there are 3 routes from Boulder Creek to Beaver…

Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly…

A: Understand the problem: Given that 36 students signed up for classes during the orientation session.…

Q: 6. Number of ways a person can travel from A to C via B, if there are 3 routes from A to B and 5…

A: Let there are 3 places A, B and C. And given that there are 3 routes from A to B. And 5 routes from…

Q: 10. A salesperson living in city A wishes to visit five cities B, C, D, E, and F. a. If the cities…

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: There are 2 Sci-Fi books, 3 Romance books and 4 Horror books to be arranged on a shelf. How many…

A: Given data : Sci-Fi books = 2 Romance books = 3 Horror books = 4 a. If there are no restrictions.…

Q: 2. Answer the following below: i. In how many ways can 3 runners be selected from a group of 10…

A:

Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

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Q: Suppose a milling machine may suffer failure at 12 different locations. The number of ways a…

A: Problem (1 ) State the given statement is true or false

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Given we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and…

Q: C. Solve the problem using Venn Diagram. In a group of 36 first year college male students, 22 like…

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Q: 6. Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: 6. Given that, there are 10 vegetarian options and 6 options with meat at a buffet. It is required…

Q: (Show your solutions) From 10 statisticians and 7 economists, a committee of size 6 is to be…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: A) 15 people are playing soccer, only 3 people know how to be a goalkeeper, how many ways are to…

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Q: 8. There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and…

A:

Q: 1) Kathy plans to pick up a package form the post office after school before going home. Close to…

A: Here use counting principle that is combination

Q: Solve the following: 11)  A committee of 6 officials is to be chosen from 8 men and 7 women. If the…

A:

Q: 20 politicians are having a tea party, 6 Democrats and 14 Republicans. To prepare, they need to…

A: The number of democrats in a tea party is 6. The number of republican leader in tea party is 14.…

Q: 2: Suppose A {0,2,4,6,8}, B = {1,3,5,7} and C = {2,8,4}. Find %3D 4) C\B

A:

Q: Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

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Q: It’s the first day of summer camp, and the counselors are trying to figure out where one of the…

A: Given: There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. To…

Q: Suppose you need to enter a 4 digit code to enter a room. d How many such codes have exactly 1…

A: Question (d): Since no other condition is given, we consider we can use any of the ten digits…

Q: 4) How many pathways are there from A to B assuming you can only travel South and East

A: Given That : You can only travel only  South and East  from  A to B  To Find : Calculate the…

Q: If there are 120 people in your college class, are there at least 5 people that share the same last…

A: The pigeonhole principal can be used to calculate the least number of objects in the box. The…

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.