Find the number of subsets that can be formed from a set containing 7 elements. A. 64   B. 49   C. 126   D. 128   E. 14

Q: In certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…

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A: Permutations and combinations

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Q: The 13 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A:

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

A:

Q: draw a Venn diagram for n(U) = 10, n(A')= 4, n(AUB)= 9, n(B')= 5

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Q: The human resources director for a commercial real estate company received the following numbers of…

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Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

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

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Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

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

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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: In a class of 25 students, 17 drink tea, 11 drink coffee and 5 students drink neither. a. Draw a…

A: We have to first draw the corresponding Venn Diagram.

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: What is the size of the power set of S={1,2,3,4}?

A:

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: i. How many ways a meal-deal can be formed if Alia prefer a set that contain burger? ii. How many…

A: here from given information, main menu have 5 choices  side menu have 5 choices beverage also have 5…

Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible…

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Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 16 and 20…

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Q: In a school of 450 students, 120 students are in DECA, 270 students are on sports teams, and 75…

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

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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: Let A = {raisin, prune, lemon, pear}, B = {lime, cantaloupe, orange}, and C = {lemon, berry, peach,…

A: Given sets are A=raisin, prune, lemon, pearB=lime, cantaloupe, orangeC=lemon, berry, peach,…

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

Q: 2. A club has seven members. Three are to be chosen as a group to a national meeting. A) How many…

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Q: d) How many arrangements are there of the letters in the word SASKATOONS?

A: d) The number of arrangements are there letters in the word SASKATOONS is obtained below: There are…

Q: [B.] Construct a membership table to show AAB = (AU B) – (An B).

A: In the question we have to construct as membership table.

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…

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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: 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: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; wheren is total number of distinct…

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Q: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…

A: As per guidelines expert gave to answer first question only

Q: Set A contains 6 elements, set B contains 12 elements, and 4 elements are common to sets A and B.…

A: Set A contains 6 elements, set B contains 12 elements, and 4 elements are common to sets A and B.…

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

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Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

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: 1- Show that : [ (A + B), (C + D )]= [A , C] + [ A , D ]+[B,C] +[B,D]

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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: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

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

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Q: Suppose set A = {green, blue, red} and set B = {gray, purple, blue} (a) What is A ∪ B? (b) What…

A: GivenA={green,blue,red}B={gray,purple,blue}

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

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Q: A given large basket can contain 70 pieces of fruit consisting of apples, bananas, kiwifruit,…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.