Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor swimming. Answer the following questions. If the size of the given set can not be determined, enter "cnbd" (without the quotes). (1) How many students enjoy both sports? and its not 55

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

A:

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: If a given set has 15 elements how many of its subset have at most two elements

A: Given, No of elements=15  how many of its subset have at most two elements

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are Math books, 3 are…

A: Given:- total books =10 maths books =4 Chemistry books =3 history books =2 song lyric book =1

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 6 is to be…

A: As there are 11 girls and 9 boys now if a team of 6 is to be selected. 1) Number of different teams…

Q: Assume that the committee has 14 members, and that 4 different members are to be given special…

A: We have to find probability..

Q: Let the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

Q: An order comes in for four standard tables and four standard chairs, constructed using Pine wood.…

A: Firstly understand the use of each character and then apply it to the question given

Q: 2. If a set X has n elements, how many elements are in the power set P(X), we exclude the empty set…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

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

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

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: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: If A and B are both finite sets and A has n elements and B has m elements, what’s the fewest number…

A:

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: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

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

A:

Q: How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} to guarantee that at least one…

A: To find  How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} toguarantee that at least…

Q: Suppose that in a particular class of 200 students, 31 of them plan on majoring in math, 27 plan on…

A:

Q: Consider the set X = {A,B, C, D,E, F, G} case 1 How many 4-letter lists from X (with repetition…

A: A set X is given. We have to find the number of 4 - letter lists possible from X if certain…

Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many…

A: We can find answer to both the question as below

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: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

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

A:

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 8 is to be…

A: It is the question of permutation and combination. And the whole solution is shown below.

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

A:

Q: Suppose A is a set with 6 elements. Answer the following questions:   1. How many subsets of…

A: In a set the order does not matter. So we can use the combination method. 1) We can pick 4 elements…

Q: Show that if any 14 numbers are selected from the set S = {1,2, 3, ..., 25}, %3D there are at least…

A: Given statement is If any 14 numbers are selected from the set S = {1,2,3,...,25}, there are at…

Q: A. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are…

A: Answer is given below:

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

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

A: To find unordered sets of two items chosen from eight. Number of unordered sets r chosen from n is…

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

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: How many elements are in the set {0, {0}}?

A:

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

A:

Q: if a given set has 24 elements how many of its subsets have at most four elements

A: There are subsets with 0 elements, 1 element, 2 elements, 3 elements, and 4 elements which are…

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD.…

A: the total number of alphabets between A to P is 16.

Q: From a group of 18 customers, 4 are to be chosen to receive a special gift. Assuming that the order…

A: The number of groups of 4 customers can be chosen is,

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: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.

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

A: Determine the number of sets of five marbles include at most one of the red ones but no yellow ones.…

Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.