A bag contains the letters A, B, C, D, E, F. You draw three  letters out of the bag (without replacement, order matters). How many different three-letter sequences can you form this way?

Q: 1. You have two vests, three hats and 14 buttons. How many outfits can you make if each outfit has a…

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Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: Arrangement L Arrangement M -- ■ 0:0 1 table Draw the diagram for 4 tables using arrangement L 2…

A: Solution:According to the given data, draw the diagram for 4 tables using arrangement L.

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

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Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

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

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Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A: The number of ways to obtain the r object out of n object is given by the formula nCr=n!r!n-r!. The…

Q: A family is planning a camping trip at a national park. The national park has 4 campgrounds, each…

A: counting principle   multiply number of choices to find total no. of possibilities.   4 campgrounds…

Q: How many ways are there to arrange the letters in the word OHIO? Number

A: Note: According to our guidelines we can answer only first question and rest can be reposted.

Q: A team is being formed that includes five different people. There are five different positions on…

A: five different people in a team.  there are five different positions on the team.  no. of ways to…

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

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Q: How many ways can the letter DADDY be arranged? Show steps

A: Given: Number of letters in DADDY n=5 The number of ways the letters of DADDY can be arranged is…

Q: Count the number of ways 2n people can be grouped into pairs. For example, when n=2 and there are…

A: If n=2 2n people can be arranged in  A B C D The possible number of pairs that can be formed…

Q: In a lottery game, a player picks 5 numbers from 1 to 40. How many different choices does the player…

A: In a lottery game, a player picks 5 numbers from 1 to 40.That is, the total number is 40 and the…

Q: In a lottery game, a player picks 6 numbers from 1 to 43. How many different choices does the player…

A: In a lottery game total numbers from 1-43=43no. of numbers to be picked=6The order doesn't matter

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

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Q: in hpw many ways can we arrange 6 cats followed by 4 dogs in a line if there are 9 cats and 6 dogs…

A: arrange 6 cats followed by 4 dogs in a line if there are 9 cats and 6 dogs to choose from.

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

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: At an awards ceremony, six women and four men are each to receive an award and are to be presented…

A: Introduction:Permutation:If n objects are to be arranged in r places (n > r) in a certain order,…

Q: In how many ways can you select three books to read from a shelf of eight books? (Order is…

A: We have find order matter..

Q: License plates The RBC Heritage Classic Foundationlicense plate is available to anyone with a…

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Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

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

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Q: How many different ways can five students be selected from a classroom of twenty-eight students…

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Q: **** There are different ways to select two objects at a time. (Type a whole number.) Explain why…

A: It is given that  Total objects = 8   Note: Combination formula: C(n,r) = nCr = n!/(n-r)!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.