Show the permutation of a given situation by using a tree diagram
Q: A class has 28 students. In how many different way can four student form a group for an…
A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4
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A: Given that, as president of the high school band, Catrina needs to pick a committee of 2 to…
Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…
A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.
Q: There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are…
A: Total students (history or sociology) = 100 Both(history and sociology) = 10 History = 45 Sociology…
Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…
A: Given,total no.of people=9
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Q: Adam, Eunice and Lara get into a bus, one after the other. One way in which they get into the bus is…
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Q: What are the possible orders for the elements of S6 and A6? Whatabout A7?
A: The given S6 is symmetric permutations. And A6 is even permutations. We have to find the possible…
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Q: supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…
A: Given, a supermarket wants to send codes for $0.25 off abag at chips to its rewards program…
Q: by three digits. The letters A, B, C, and D and the digits 6 and 9 will not be used. So, there are…
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Q: Suppose a business owner has a choice of 5 locations in which to establish her business. She decides…
A: A business owner has choice of 5 locations for establishing her business. Hence, we have to find the…
Q: Q8. A search committee was formed to find a new software engineer from a set of 50 applicants. The…
A: A search committee was formed to find a new software engineer from a set of 50 applicants. The total…
Q: a family has 4 children. using a tree diagram that shows how many ways the children could have been…
A: The objective of this question is to determine the number of ways a family with 4 children could…
Q: A supermarket send codes for $0.25 off a bag of chips to its rewards members. Each coupon code will…
A: Number of letters allowed = 24 Number of digits allowed = 7 Each coupon code will have one digit…
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A: To find the number of four-letter words that can be constructed using the given letters without…
Q: Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller gives him…
A: Given , Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller…
Q: (d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be…
A: As per your Requirement I have calculated D part only
Q: A freelance computer consultant keeps a database of her clients, which contains the names S = {Acme,…
A: Union: The union of two sets X and Y is defined as the set of elements that are included either in…
Q: Find the number of arrangements of the letters in the word EMERGE in which (a) all the 3 letters E…
A: Given word is EMERGEletter E is repeated 3 times total no.of letters in the word EMERGE =6
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A: Given information:Child always picks up at least 1 card, but he could pick up 1, all 54, or any…
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A: Given that, exterior colors = 4 and Interior colours = 3 Now find the total number of possible…
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A: The objective of this question is to find out the number of possible orders in which the five…
Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…
A: This is a counting problem.. we will solve it using the approach of dynamic programming
Q: Suppose that in a particular class of 135 students, 45 of them are majoring in math, 60 of them are…
A: Let, A be the students who are major in math, B be the students who are major in communications.…
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A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…
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Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…
A: GivenNo.of downloaded songs(n)=23no.of songs to use in CD player(r)=8
Q: you have 65 movies on a netflix queue. how many possible ways can you order them?
A: Given information- We have given that we have 65 movies on a Netflix queue. We have to find the…
Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…
A:
Q: Q8. A search committee was formed to find a new software engineer from a set of 50 applicants. The…
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Q: (a) What are the null and alternate hypotheses? 0.001 0.010 (b) Suppose the P-value is approximately…
A: ANOVA(parametric test) and Kruskal Wallis (non parametric test) both are used to compare the average…
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Q: You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement).…
A: Answer:----. Date:----11/10/2021
Q: (a) What is the probability that you draw one of the managers? (b) What is the probability that you…
A: According to our guidelines, we can answer only three sub-parts. So, please repost the rest part.
Q: Solve the following problems 1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers…
A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…
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- Given the box with one red, two blue and 3 green marbles, use the tree diagram to answer the questions below. Blue 2/5 Red 3/5 - Green 1/6 Red 1/5 2/6 -Blue 1/5 -Blue 3/5 Green 3/6 Red 1/5 Green 2/5 Blue 2/5 Green a. How many choices to get green marble from the first try do you have? Round your answer to the nearest thousandth b. How many different choices to get two blue marbles do you have (without replacement)? Round your answer to the nearest thousandthYour club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there are 7 sophomores, 8 juniors, and 6 seniors in the club, how many different ways can the committee be formed? Assume that the order that you are picked in does not matter.There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are taking just history, how many are taking sociology? Why is it not 45? Use a venn diagram for this problem.
- You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter.A large bakery has many different products for sale. Suppose that 200 come in between 6am and 10am. Of the 200 customers 140 order donuts, 100 order cinnamon rolls, and 80 order both. Make a Venn Diagram to model the situation.One morning Dave an email message to Alvin that said the following: “You are one of my dearest friends. If you care about me, send a copy of this letter to two of your dearest friends tomorrow. If you do not break this chain, you will live long and prosper.” Alvin followed the directions: the next day he sent a copy of the message to two of his dearest friends. The following day, each of the recipients did the same. Count the day Dave sent the original message as the first day, and assume the chain is unbroken. A. How many copies of the message will be sent on the sixth day? B. Find the n-rule that will show how many copies of the message will sent on the n-th day.
- Just need an answer to these 2 short questions, please.Suppose your school has 1000 students. Why can you be pretty sure that some pair of them will have telephone numbers that end in the same two digits and that they will like the same brand of soda?You are decorating a chocolate cupcake to give to your friend, and you can choose from any of the following decorations: icing, sprinkles, gummy bears, sour keys, and peanuts. You can choose any number of decorations that you can, but you know that your friend will also be happy if there are no decorations on the cupcake. How many ways can you prepare this cupcake?
- You are given a deck of n cards, which are numbered 1 through n. After the n cards are randomly shuffled, the cards are dealt face up on the table, one card at a time. Here are the rules of NALGO: after the first card is placed on the table, each new card must have a higher number than the previous card. If it does, this new card remains on the table. If the new card is lower in value, then this card is removed from the table and the game is immediately over. Your final score is the number of cards that are placed on the table. For example, if n = 3, then there are six possible scenarios, each of them equally likely to occur. The cards placed on the table are marked in bold. First Card Second Card Third Card 1 2 3 1 3 2 2 2 3 3 1 3 1 2 3 1 2 1 Cards on Table 1, 2, 3 1, 3 2 2, 3 3 3 Points 3 2 1 2 1 1 Thus, if there are n = 3 cards in the deck, then you score 1 point with probability , 2 points with probability, and the maximum 3 points with probability. And so, the expected value of…Bruna lives in Hamilton and is planning a trip to Hong Kong. On the day she wants to travel, she can take one of two flights to Toronto, then one of three possible flights to Vancouver, and finally one of four flights available from Vancouver to Hong Kong. Use a tree diagram to determine the number of ways Bruna could fly from Hamilton to Hong Kong. Answer: 9 different ways. True FalseTwo players play a game with the following rules: Player 1 puts on a blindfold while player two throws a die. The number that he gets is put aside as the "Target value". Then player two throws another die three times while giving player 1 information on weather he gets a lesser number than the target, equal to the target or greater than the target. Imagine that you are player one and you are handed the information that player two got [Lesser, equal, greater]. Deduce the probabilities of each possible target given the information.
