.. Five girls and three boys should be seated in line so that there are no two boys sitting next to ch other. In how many ways can this be done?

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

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

A: Hi there! Thanks for posting the question. Since there are two different questions, we have solved…

Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

Q: Prove that at a party where there are at least two people, there are two people who know the same…

A: There are two cases to consider:   Assume there is a someone at the party, who knows everyone else…

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: . In how many ways can you arrange all the letters of the word TORONTO  a) that begin with a T? b)…

A:

Q: Find S, if aj = 20, d = -10, and n = 25.

A: first term a1 = 10 common difference d = -10 total number of terms n = 25

Q: How many possible results are there that A finished the first, B finished the second, and C finished…

A: SIX STUDENTS ARE SELECTED TO RUN 100 METER SPRINT. ASSUME THAT THEY ARE EQUALLY GOOD AND RESULT ARE…

Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: In how many ways can a group of five girls and five boys be lined up so that: (a) all the girls…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In how many ways can 9 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A:

Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…

Q: 3. Let A %3D (Раul, Perry, Patrick, Peпn, Peyton}, в %3 {Рerry, Penп, Реyton} and C %3 {Jeff,Janet,…

A: Given data:   The first set given is A={Paul, perry, Patrick, Penn, Peyton}. The second set given is…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, and 2 Italians be seated in a row so that…

A: We have given that  Americans = 3 Frenchmen = 4 Danes = 4 Italians = 2

Q: A How many paths are there from A to C?

A:

Q: (d) Suppose two team members insist on either working together or not at all on projects. How many…

A: A computer programming team has 9 member. (d) Suppose 2 team member insist on working together or…

Q: The line in 5° Land (2.1,4 going through the erigin

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Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

A:

Q: 4. If it is sunny, Ben will go biking. (S, B) It is not sunny. Therefore. Ben did not go biking.

A: Lets wright S= it is sunny, and B= Ben will go biking Given statement If it is sunny, Ben will go…

Q: (a) all pistols are to be from the same manufacturer (order does not matter here)? (b) the pistols…

A: A firearm salesman has to display 2 pistols from an inventory of 7 Glock’s, 8 Sig Sauer’s and 5…

Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

Q: Show your work and justify. In how many ways can we order a deck of 52 playing cards so that no two…

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Q: In a recent study, 50 males used a new weight-loss supplement, and all but 13 of them experienced…

A: Given that

Q: C & J Realty has received 12 inquiries from prospective home buyers. In how many ways can the…

A: Given: Each agent handles 4 inquiries and there are 12 inquiries.

Q: At a blood drive, 5 donors with type O + blood, 5 donors with type A + blood, and 2 donors with type…

A: Solution-: Given: Number of donors with type O+ =5           Number of donors with type A+ =5…

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: At a blood drive, 4 donors with type 0+ blood, 3 donors with type A+ blood, and 3 donors with type…

A:

Q: ose a board of 5 men and 5 women and that a committee consisting of 7 board members is to be formed.…

A: Given that  Number of men = 5 Number of women = 5 Committee must consists of 7 board members A…

Q: a. A U A, c. AN 40 4,, and

A: As per given by the question, there are given that,  PA1=0.22, PA2=0.25, PA3=0.28, PA1∩A2=0.11,…

Q: A club consist of three men and seven women. in how many way can this club elect a president, vice…

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Q: a) How many ways are there to do this?

A: nCr=n!r!(n-r)!

Q: How many ways can a group of n people be arranged in a circle that contains k equally distributed…

A: Number of ways of selecting k people from n people = Ckn = n!k!*(n-k)!

Q: ttees of 4 men can be formed from a group of 10 Hiet 5. How many 13 boys and 11 girls? 5. How of 5…

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Q: Provided the follow While there are man

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Q: A committe of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be…

A: Given: Total Gents = 6 Total Ladies = 4 Required 5 members committee for the at least two ladies

Q: 3. Use the diagram below to prove AQUT ASUP,

A: Please refer the attached image for complete solution.

Q: Selected student is male and his age between 21 and 24 years.  e. Selected student is female student…

A:

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: In (R, t,), if A = { :n E N}, then 3+n I(А) —

A: option (C).

Q: The five most common words appearing in spam emails are shipping!, today!, here!, available, and…

A: Since you have posted question with multiple sub-parts, we will solve first 3 sub-parts for you. To…

Q: suppose that five service customers need service call and the maintenance worker can only service…

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Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A: Given, The probability that the students are freshmen is pf=0.30 The probability that the students…

Q: O V36 should be at 7, and 36 should be between 3 and 4 O V36 should be at 6, and V36 should be…

A: Answer : Option B i:e ; √36 should be at 6 and 3√36 should be between 3 and 4.

Q: Suppose there are 6 girls and 6 boys in a class. In how many ways can you arrange these children in…

A: Permutations and combinations

Q: A police department released the numbers of calls for the different days of the week during the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: in how many ways can the numbers 1,2,3,4,5,6,7 be arranged so that  a. 1 and 7 are adjacent? b. 1…

A: a) If 1 and 7 are adjacent then we consider 1,7 as one number.  It can be 17 or 71. 2 ways. When 1,7…

Q: Question 14 of 15 A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can…

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Q: in how many ways can you assign offices to all faculties that agree with their

A: Here given, academic building consists of 3 floor each floor consist total 10 offices out of which 3…