Problem 1. There are 4 red balls and 6 blue balls to be arranged in a row on a string. Balls of the same color are not distinguishable. The two ends of the string are not connected. None of the red balls are adjacent to any other red balls. Also, the two balls at two ends must not have the same color. How many ways are there to arrange these balls?

Q: Problem 1-94. Augustin is in line to choose a new locker at school. The locker coordinator has each…

A: We have given two lockers for augustin i.e. 831 and 535 .

Q: Problem 3: How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string of…

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

Q: Problem #2: Suppose an ice cream shop starts a promotion from 2-4p on Wednesdays using two sets of…

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Q: Problem 4: "Winfall" was a lottery game in Michigan in the early 2000s. The play was as follows: you…

A: Introduction: For the given lottery, total number of possible balls in the basket is 49. Denote ‘S’…

Q: QUESTION 8 Five student representatives are to be selected randomly from a 20 students list as…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Q-8) Five students to…

Q: In a certain state, license plates each consist of 2 letters followed by 4 digits.  How many…

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Q: Three dice are rolled at the same time.  1. How many outcomes are there if the desired sum of the…

A: From the provided information, Three dice are rolled at the same time. Number of outcomes rolling a…

Q: Problem 3 Let S = {1,2, 3}. Write all the possible partitions of S.

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Q: Problem 3 (12 Points) In Muscat city, there are two types of services at a gas station. The gas…

A: Given: The joint pmf of A & B, where, A: Number of hoses being used in Self service station B:…

Q: Problem 12. A restaurant offers a choice of 5 salads, 9 entrees, and 4 desserts. How many possible…

A: Choice of  5 salads, 9 entrees, and 4desserts. 1 salad from 5 salads can be selected in 5 ways. 1…

Q: Problem 2. You plan to sell k products to totally n1 + n2 customers in which customers 1, ...,n1 are…

A: Answer is given below:

Q: Problem 2. Seven women and nine men are on the faculty in the mathematics department at a school.…

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Q: Problem 3. There are three urns labelled as u1, u2 and u3; initially u1 contains 2 black balls and 3…

A: NOTE*** As per bartleby guidelines for more than three subparts asked in a question only first three…

Q: Problem 2 Suppose that a department contains 10 men and 15 women. How many ways are there to form a…

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Q: Working problem 4.28: A company established identification pass codes to its employees to enter its…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY

Q: Problem 3: Let n be an even positive integer. Show that when n people stand in a yard at mutually…

A: Yes

Q: When we are considering n objects taken r at a time, with r . 1, why will the number of combinations…

A: "When we are considering n objects taken r at a time, with r . 1, why will the number of…

Q: Problem 2. Ann, Bert, Caren, Dan, Eli, Farrah, Gab and Heni is assigned as a group in a certain…

A: The no. of members in the group created for a certain class activity is 8.  Group leader is Ann. Ann…

Q: PROBLEM L. Inscribed on the outside of King Tutankhamen's Tomb in Luxor, Egypt was the warning…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: PROBLEM 4 group different main dishes. or four friends goes to a restaurant for dinner. The…

A: Given that, the restaurant offers 12 different foods, and the number of friends are 4. Find the…

Q: Question 6 Consider the design of a communication system. (a) How many three-digit phone prefixes…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Q-6 Digits :…

Q: Problem 3. There are 7 Korean books and 8 Japanese books on the bookshelf. Korean books should be…

A: Given that 7  Korean Books and 8 Japanese books  We have to find number of ways to arrange the books…

Q: Problem 1. Suppose a committee of 5 members are to be formed from the Mathematics Club Class…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Problem 9. (10 polnts) At a resort casino, Lucy plays Quick-Draw. Lucy can choose 6 numbers from 1…

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: QUESTION 10 If I go into an ice cream parlor, and I have the choice of having one of 10 different…

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Q: Item#3 In how many ways can 5 men and 3 women be arranged in a row if no two women are standing next…

A: Introduction: Permutation: Permutation is the method of arranging the elements. Permutation is used…

Q: Question 1. In how many ways can a father along his two sons and two daughters be arranged for a…

A: Here total 5 persons  1 father and two son and two daughters  For photography father is at middle…

Q: Problem. 5: Gator Toyz has decided to manufacture a new set of blocks for children, each of which…

A: in the question it is asked to fill each block given in question.

Q: Problem 1. There are 30 playing cards. Not considering their order, in how many ways you can choose…

A: We have given that 30 playing cards We have find out in how many ways we choose 6 playing cards

Q: Problem 14. License plates in a particular state display 2 letters followed by 2 numbers. How many…

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Q: In row 2 there are 28 seats and in row 4 there are 44 seats. What is the number of seats in row 10?

A: The given data in the question is converted into a table

Q: In a survey of 263 university students, it was found that 122 of them had taken a foreign language…

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Q: For traveling salesman problem applied to 5 cities (including the home city), how many tours are…

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Q: Problem 5 In how many ways can 4 boys and 6 girls be seated around a circular table if all the girls…

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Q: Problem 5. How many ways are there to choose a dozen donuts from 20 varieties 5(a) if there are no…

A: Consider the provided question, (a) Find the number of ways to choose a dozen donuts from 20…

Q: PROBLEM 3 Consider the following definitions for sets of characters: • Digits = {0, 1, 2, 3, 4, 5,…

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Q: 23. (주)

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Q: In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years old, and…

A: The probability is the chance of occurrence of an event, the probability of event A is calculated by…

Q: PROBLEM 2 Fnd the nuLmber of 4 letter words using the letters of the word MISTER in which atieast…

A: ANSWER: From the given data,

Q: Problem 4 How many different signals, each consisting of 8 flags hung in a vertical line can be…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: Question 3, Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task. In the…

A: total number of students=20Number of students in a group=4Total number of groups=5Two constraints:1…

Q: Answer the following questions, similar to those found in problem 23 of section 2.3 in your text.…

A: Total number of students = 21 Number of girls(G) = 10 Number of boys(B) = 11 Number of members in a…

Q: Problem 11 In how many ways can you distribute n pennies to k children if each child is supposed to…

A: We are entitled to solve only one question at a time. Please post other question separately. To find…

Q: Problem 7 Parts A and B please

A: To find first derivative , apply quotient rule

Q: Problem 2. To fulfill the requirements for a certain degree, a student can choose to take any 7 out…

A: There are 20 courses in total. One has to choose 7 out of 20 courses such that at least one of them…

Q: Problem 1 refers to the Venn diagram. Find the number of elements in each se (a). n(A) A 26 (b).…

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Q: A 125-page document is being printed by five printers. Each page will be printed exactly once. (a)…

A: Consider the provided question, (a) There are 5 printers A, B, C, D and E. Each printer can print…

Q: PROBLEM 4 Solve the following problems: (a) How many ways can a store manager arrange a group of 1…

A: As per the answering guidelines I will solve first question only. If you want others to be solved…

Q: Problem 1.1: From the letters (A, B, C, D, E, F}, how many: (a) 3-distinct-letters codes can be…

A: We have a total of 6 alphabets from which we have to create, (a) 3-distinct-letters code (repetition…

Q: roblem #4

A: Given data: X Y 3 1 4 2 6 3 2 4 10 10