12. How many possible sets of four marbles include no more than 1 purple marble?

Q: the number of permutations of 10 distinct objects taken six at a time is 151? a. b. True False

A:

Q: 3. A group of seven people consists of four women and three men. From this group, four people will…

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Q: Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones,…

A:

Q: 10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is…

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

Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A:

Q: may a. In how many ways may the scholarships be awarded such that 2 men and 2 women are selected. b.…

A: Here given , there are 4 different prizes  And here there are 5 men and 4 women in group of scholar…

Q: 9. How many ordered sets of 3 even numbers are there that will add up to 60? How many different ways…

A: Combinations: The combination is a mathematical method that determines the number of possible…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange…

Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow…

A: The five marbles(none of them are red or green) to be selected from a bag containing 5…

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: A class is consist of 12 boys and 10 girls. In how many ways can the class elect 4 members of a…

A: We have given that the class consist 12 boys and 10 girls. Total number of members = 22…

Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

A:

Q: 1. In how many ways can a committee of three be formed from a group of 10 members?

A: 1. Answer: In 120 ways can a committee of three be formed from a group of 10 members.

Q: eight are yellow. If five balls must be drawn from the box, in how many ways is this possible if 4.…

A: Given box contains 15 balls. Green balls = 7 Yellow balls = 8 Five balls are drawn from the box.

Q: Suppose a car you want to buy has five choices for inte-rior colors, three types of radios, three…

A: Given Data: The number of choices for interior colours is: N1=5 The number of choices for radios is:…

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

A:

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: Consider a bag containing six red marbles, two green ones, one transparent one, four yellow ones,…

A: We have 6 Red marbles2 Green marbles1 transparent marble4 yellow marbles2 orange marblesTotal no of…

Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: a set of marbles consisting of 4 red, 3 green, 2 blue, 3 orange, 2 yellow and 3 purple marbles. How…

A:

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given Information:  Number of members in a group = 7  Number of men = 4  Number of women = 3

Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: How many subsets does the set  L = {3, 4, 5, 6} have?

A: Given, L = {3, 4, 5, 6}  No of elements in set L (n) = 4

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

A:

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: (a) At most 1 car are black. (b) At least 2 cars are black.

A:

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13 Find the sets of five marbles containing 2 yellow marbles:…

Q: Consider a bag containing four red marbles, three green ones, one transparent one, four yellow ones,…

A: Given:  4 Red Marbles 3 Green Marbles 1 Transparent Marbles 4 Yellow Marble 3 Orange Marble  To…

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

Q: How many unordered sets are there of five items chosen from eight?

A: In unordered sets, the order of the selection of the selection of items does not matter. So,…

Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

A:

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is ed and 1…

A: Answer - A box contains 8 red and 6 green balls.                 How many ways can 3 balls be drawn…

Q: How many subsets are there of the set N = {1, 44, 65, 11, 39, 53, 26}?

A: Given,          The set is N=1, 44, 65, 11, 39, 53, 26We know that,          The number of subsets…

Q: If 6 out of 30 people over the age of 100 are male, Ho our of 30 people over the age of 100 are…

A: Given that The number of total people=30 Number of male over aged of 100 =6 Then we have to find the…

Q: In how many ways can you partition a set of 8 elements into 3 subsets (compute S8.3)?

A: To find - In how many ways can you partition a set of 8 elements into 3 subsets compute S8, 3 ?…

Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…

A: According to bartleby policy I have solved first question. I hope it will help you...

Q: How many full houses ( one pair and on three of a kind) are possible in 5 card poker?

A: Here we want to all  in 5 houses possible cards.

Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow…

A:

Q: Consider a bag containing six red marbles, two green ones, one transparent one, seven yellow ones,…

A: Use combination theorem:

Q: i. How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here, AS PER GUIDELINES  I HAVE CALCUALTED FIRST MAIN  QUESTION  HERE USE COMBINATION , TOTAL…

Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…