(a) How many 4-permutations are there of a set of five objects? (b) How many 2-permutations are there of a set of nine objects?

Q: Subject identification numbers in a certain scientific research project consist of four digits…

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Q: Answer the following whether TRUE OR FALSE 1. The order of n different things matters in…

A: 1.  In permutation, objects are arranged in a definite order. So, the order of n different things…

Q: 1) This question considered permutations of "RONALDMCDONALD". (a) How many permutations start and…

A: The word RONALDMCDONALD contains  1-R 2-O 2-A 2-N 3-D 2-L 1-M 1-C

Q: In how many ways can 2 children and 5 adults be seated in a row of the children must be seated at…

A: Given information: 7 people consisting of 2 children and 5 adults, are to be seated in a row.  It…

Q: Subject identification numbers in a certain scientific research project consist of two digits…

A: Introduction: When there are some certain object and we have to arrange them or select them, we…

Q: Find out how many distinguishable permutations are in the following words. Population

A: The given word is "population"

Q: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

A: Given ,  Word - MISSISSIPPI number of letter in word MISSISSIPPI = 11

Q: How many permutation can we make if we have 12 elements and use 4 at a time?

A: Given data:   The total numbers of elements are n=12. The numbers of elements used at a time are…

Q: 5. How many 2-permutations are there of a set of eight objects?

A: We know that,  The formula pf permutations is,  nPr = P(n, r) = n!/(n-r)!

Q: A permutation is an ordered arrangement order matters  r distinct objects are chosen from n…

A: Number of  ways in which  first, second, and third prizes be awarded in a contest with 825…

Q: 14 ladies of a certain age drop off their red hats at the hat check of a museum. As they are…

A: Given, Total there are 14 hats. We have to determine the ways in which 6 of the ladies recieve their…

Q: THEOREM 2.4 The number of distinct permutations of n things of which n1 are of one kind, n2 of a…

A: Given: Theorem 2.4 and Theorem 2.5

Q: runners are in a race. How many different ways can they finish in 1 , 2 st nd, and 3rd place?

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Q: Find the number of permutations {1, 2, 3,...,8 } such that:   1) Exactly 4 digits in their usual…

A: Total elements= 8  Number of ways in which we can choose the four elements that will be in place is…

Q: 1) There are 480480 people in attendance for the conference. If every person shook hands with every…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: Is a permutation of one element considered to be an even permutation? For example, is (1) an even…

A: To clarify the notion of an even permutation

Q: How many distinct permutations can be formed using the letters of the word "ROBBERIES"? There are…

A: We want to find total number of permutations of given word.

Q: 3. Suppose rectangular banners come in eight different colors and triangular banners come in five…

A: Dear student, If you find this solution helpful please upvote ? it.

Q: 2. In how many ways can three numbers be selected from the numbers 1, 2, ... , 300 such that their…

A: This problem is solved using the concept of permutation and combination. please find step by step…

Q: green A store sells rubber balls in 4 different colors: red, yellow, blue, and If the store has a…

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Q: 2. even numbers are in their natural positions. Determine the number of permutations of {1, 2, 3, 4,…

A: Here we use combination rules. And set theoretic rules.

Q: What is the main difference between a situation in which the use of the permutations rule is…

A: The major and main difference in the use of permutation rule and the combination rule is ordering.…

Q: 1) This question considered permutations of "RONALDMCDONALD". (a) How many permutations are there…

A: Thank you for  your question!! But it seems you have posted many subparts in a single request so…

Q: Find the number of distinguishable permutations of: 6 Es, 4 Is, and 5 Ls

A: Number of ways to arrange n elements in n places where a elements are identical, b elements are…

Q: How many distinct permutations can be made from the letters of the word "COMBINATORICS" ?

A: Given word is: "COMBINATORICS" Total number of letters are 13. Multiplicity of letter C is 2.…

Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: (As per bartleby guideline for more than one question asked, Only one will be solved, Please upload…

Q: Find the number of permutations of 4 distinct objects. There are permutations.

A: Permutation: Permutation is an arrangement  of items in a permanent order. In permutations  Orders…

Q: A user’s password to access a computer system consists of three digits and two letters.…

A: A permutation of a set is an arrangement of its members into a sequence or if the set is already…

Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: Given : 3 Situations Where use permutation formula

Q: Find the total possible number of 5 letter words such that they are alphabetically first in the…

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Q: How many permutations of {1,2,3,4,5,6,7,8} have exactly 15 inversions?

A: Introduction: The permutation is {1, 2, 3, 4, 5, 6}. The inversion sequence of the given permutation…

Q: 7. Suppose you have 15 CDs from which you choose 6 CDs to put in the CD player in your car. If you…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: ny distinct permutations can be made from the letters of the word COLUMNS? (b) How many of these…

A: Total letters = COLUMNS =7 The distinct permutations that can be made from the letters of the word…

Q: 16. A soccer team has 11 players on the field at the end of a scoreless game. According to league…

A: Solution

Q: A host invites n couples to a party. She wants to ask a subset of the 2n guests to give a speech,…

A: Lets there be n number of couple. We will choose any number of couple and as there are two members…

Q: Find the number of distinguishable permutations of: 5 As, 3 Gs, and 4 Ns

A: The answer is, 27720   The detailed solution is as follows below:

Q: Jack is playing with a standard deck of 52 playing cards. He shuffles the cards and then turns the…

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Q: 2. An outfit consists of a skirt and a blouse. If there are 6 skirts and 8 blouses from which to…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: How many possible permutations of 5 Cards can the first player have given the following conditions?…

A: The number of suit is 4. The number in the cards are 10 in each suit. The number of face cards are 3…

Q: How many distinct permutations can be made from the letters of the word “miscellaneous” that start…

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Q: Number of circular permutations of different .!things taken all at a time is (n-1)

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Q: Four people are chosen from a group of seven people. Describe a situation of this case that involves…

A: Combination:   It  is a selection of objects where the order of selection is not important.   If n…

Q: 4. True or False? (a) In counting combinations, order matters. (b) In counting permutations, order…

A: To state whether

Q: 1. How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n >…

A: For the solution of the problem follow the next step.

Q: (a) How many permutations of (10] are there that EITHER alternate even and odd numbers or have even…

A: Let consider the permutations of 10 as the ordering of  the elements of 10 rather than as an…

Q: 1. A restaurant offers a meal consisting of one of the three entrees and one of four desserts at a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a…

A: Here we will use the concept of Combination

Q: 6. In a lottery game, 6 numbers are drawn from a machine with 40 balls numbered from 1 to 40. The…

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Q: many permutations can be formed with two types of objects with n objects of type 1 and n^2 objects…

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Q: How many permutations are there of the letters in the word 'CLOTH', if all the letters are used…

A: