Let A = {n,o,p,q}. a. How many subsets does A have? b. How many proper subsets does A have? c. How many subsets does A have that include the elements p and q? ..... a. A has subsets. (Type a whote number.)

Q: 13. Let D be a standard deck of cards, let S♡ = {A♡,KO‚Q♥,JO}. a) List all the subsets of SV that…

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Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so…

A: Given:       Number of nights in which no two nights have same group of 4 men…

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: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given that, S = {Brinsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

Q: If set Z has 7 elements, how many subsets does it have?

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Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: (1234 56 314562, Let o = find o5 (1234 56 314562, (1234 56) 612435, O None of them 1234 56) (124365…

A: Just write the given permutation in cycle form and then compute the order of permutation and you'll…

Q: c) How many numbers must be selected from the set {1, 2, 3, 4, 5, 6, 7, 8} to guarantee that at…

A: Given the set of numbers 1,2,3,4,5,6,7,8 To find how many numbers must be selected from the set to…

Q: ​Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

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Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

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Q: Let A=( a, e, i, o, u, ) a) How many proper subsets will A have? b) How many 3-elements subsets will…

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Q: A person can order a new car with a choice of 8 possible​ colors, with or without air​…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: how many different ways can a new car be ordered with regard to these​ options?

A: Here use combination for no.of different ways of new car can be ordered

Q: The number of ways in which a committee of 6 students be chosen in a group of 8 students are O 28 O…

A: Total students = n = 8  Student selected = r =6  No. Of ways = nCr = n!/r!(n-r)!

Q: Consider the set A = {2,3, 4, 5, 6, 7}. a) How many different 4 digit numbers can you make from the…

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

Q: Use the accompanying Venn diagram, which shows the number of elements in region Il to answer the…

A: n(x)     = number of element in set 'x'.  (In general) U        = universal set         (Whole…

Q: A person can order a new car with a choice of 6 possible​ colors, with or without air​ conditioning,…

A: Solution :-

Q: (a) In how many different ways can the letters of the word wombat be arranged if the letters wo must…

A: Using permutation we can get the number of ways the letters can be arranged to make words

Q: (a) In how many different ways can the letters of the word combine be arranged? (b) In how many…

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Q: 1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4…

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Q: In how many ways can a subcommittee of 8 students be chosen from a committee which consists of 14…

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

Q: In a group of 200 college students, 138 are enrolledin a course in psychology, 115 are enrolled in a…

A: The Venn diagram:

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

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Q: Note that there are 5 cards in a hand. -Jim Hendrickson (1) How many different hands contain exactly…

A: a) Given that there are 5 cards on hand . Obtain the number of different hands contain exactly 4…

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

A: HERE USE COMBINATION FOR FINDING POSSIBLE NO OF PREFIX WITH GIVEN CONSTRAINTS IN EACH PARTS

Q: Determine if each is a permutation or a combination and then evaluate. 32. How many groups of three…

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

Q: Let A = ,2,3,45,6,73 How many subsets ot Contriin d) How many anly even numbers? subsets. ot A…

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Q: Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How…

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Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: A detailed solution is given below.

Q: How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together…

A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

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

Q: In a survey of 153 pet owners, 74 said they own a dog, and 36 said they own a cat. 5 said they own…

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Q: (a) If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A: Solution: a. The given digits are 1, 2, 3, 4 and 5. Here, the repetition is not allowed.

Q: Use the accompanying Venn diagram, which shows the number of elements in region Il to answer the…

A: Solution is done in step 2

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: From a group of 5 men and 4 women, 3 persons are to be selected to form a committee so that at least…

A: Determine the number of ways that at least 2 men are there on the committee. The number of ways that…

Q: Let D be a standard deck of cards, let SV = {A♡, K♡,Q♡, JO}. a) List all the subsets of S♡ that…

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Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: how many distinct proper subsets are in N={10,49,70,19,37,56,26}

A: Assume two sets. Set A and Set B.Set A is the proper subset of set B if or only when set B contains…

Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10.…

A: To decide whether P is a subset of Q or the other way

Q: Show that for n attributes A1, A2, A3, ..., A, (Aj A2 Az ... A, ) 2( Aj ) + ( A2 ) + ( A3 ) + ... +…

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Q: Use the accompanying Venn diagram, which shows the number of elements in region II to answer the…

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Q: Let A=​{peach, kiwi, tomato, raisin​}, B=​{lemon, watermelon​}, and C {tomato, lemon, pear,…

A: Let A and B be two sets .         1.)  n( A∪B)=nA+n(B)-n(A∩B)         2.) n(A∪B)= n(A-B)+n(A∩B)+ n…

Q: (c)        A committee of six is to be formed from nine women and three men. In how many ways can…

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

A: we have to identify given statement is true or false.  the number of permutations of 10 distinct…