Some nonempty set has 211, at most two-element subsets. how many elements does this set have?

Q: The thirty students in a certain discrete mathematics class all live in one of three dorms on…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 6. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history and 35…

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Q: | st 5. There are 10 horses in a race. In how many ways can one pick the top three finishers (1st…

A: 3 horses can be selected out of 10 in 10C3=120 ways. Therefore one can pick top three finishers in…

Q: Which of the following could be inserted in a direct access table with 5 buckets, out of which 4 are…

A: Explanation: The direct access table is a data structure that stores the values directly as the…

Q: In a group of 25 students, 15 are enrolled in Lab, 8 are enrolled in EconTwo, and 5 are neither…

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Q: How many subsets does a set with 6 elements have?

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Q: A survey of 50 people finds: 13 like Coke. 9 like Sprite. 8 like Root Beer. 5 like Coke and Sprite.…

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Q: 5. Suppose six pairs of similar-looking boots are thrown together in a pile. How many individual…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: Let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} a. How many subsets are there total? 4096 b. How many…

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Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

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 set of three similar coins are tossed 100 times with the following results: 1 2 3 Number of heads:…

A: Solution is given:

Q: A school plans to send 5 of the students on the Student Council to a student leadership conference.…

A: The number of students in grade twelve and grade eleven are 5, 10, respectively. We need to…

Q: Calculate how many three-element subsets of a six-element set there are.

A: To find: The number of three-element subsets of a six-element set.

Q: A code have 4 digits in a specific order. The digits are between 0-9. How many different…

A: Code = 4 digits No. of available digit = 10 Repetition = not allowed Order is important, so we will…

Q: 11. Use a Venn diagram to solve. A survey of 100 nurses yielded the following information: 50 were…

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Q: 40. The donations from the residents of Fairway Forest toward the Virginia lung Association are…

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Q: 3.55. a) How many three-digit numbers with different digits are there formed by digits belonging to…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: 10(c) Suppose a set of 8 numbers are selected from the set {1,2,...,13,14}. Show that two of the…

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Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

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Q: A study of 300 parks showed:15 only camping, 20 only hiking, 35 only picnic area, 185 had camping,…

A: Three categories of activities are performed in 300 parks that are camping C, hiking H and picnic P.

Q: 9.) How many cards should you pick in a deck making sure that at least two of the cards will be of…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: [G] Students (including yourself) from 5 area colleges are at a math conference (there are more than…

A: There are 5 colleges and I want to meet at least 8 from the same college.  Let us think of a case…

Q: (c) Find the number of distinct sets of 5 cards that can be dealt from a deck of 52 cards. () Find…

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Q: 5. A venn diagram that illustrates X (letters of English alphabet upto 'e'); Y (all the vowels of…

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Q: 7) A tourist in France wants to visit 12 different cities. How many different routes are possible?…

A: Answer of q-7    12 different city to visit We have to find nom of different routes possible Here…

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: Let S = {1,2,3, 4, 5, 6, 7, 8, 9, 10, 11, 12} a. How many subsets are there total? %3D b. How many…

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Q: 20 How many 5-permutations are there of a set of eight objects? 336 O 6,720 56 O 40

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Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

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Q: A batch of 40 semiconductor chips is inspected by choosing a sample of 3 chips. Assume 10 of the…

A: Given: Total number of semiconductor = 40 Number of nonconforming semiconductor = 10 Number of good…

Q: 7 A large company created a phone tree to contact all employees in case of an emergency. Each of the…

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Q: 5. F is the set of face cards in a deck of cards.

A: In this question we have to write the set in roster method.

Q: 2. Is there an element of order 6 in S4? Explain.

A: 2) Firstly write the decomposition of 4 in all the possible ways S4 can have elements of order of…

Q: 14. In how many ways can a customer selects 3 desserts from 10 possible choices displayed on a…

A: If m data is chosen from the set of n data (where n greater than m) then the number of possible…

Q: A committee of four is to be selected from a group of twenty people. How many different committees…

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Q: 1. Let S = {1,2,3,4,5,6} (a) How many subsets are there total? (b) How many subsets have {2,3,5} as…

A: Given set,

Q: 11. If there are 90 people, can there be at least 2 who have the same first digit of a cell number…

A: given , 90 people  we have to find can there be at least 2 people whose first and last digit of cell…

Q: How many groups can be formed from 8 studenta taking at least 2 at a time?

A: nCr=n!(n-r)! r !No of ways of selecting r from nis nCr

Q: Refer to a deck of fifty-two playing cards (jokers not allowed). (a) How many five-card poker hands…

A: Total number of cards in the deck = 52 Number of aces in the deck = 4 Number of tens in the deck = 4…

Q: In a survey on beverages, 80 people like Coca Cola, 60 like Pepsi, 50 like Lemonade, 30 like Coca…

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Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

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

Q: How many four-digit even numbers are possible if the leftmost digit cannot be zero? Repitition is…

A: The possible total ten numbers are {0,1,2,3,4,5,6,7,8,9}.Since the left most digit cannot be zero,…

Q: A survey of IU students reveals that 10% of the fresh- men, 15% of the sophomores, 60% of the…

A: It is given that, 30% of all of the students are freshmen, 30% are sophomores, 20% are juniors, and…

Q: How many permutations doesaa combination lock have if each combination has 3 numbers, no two numbers…

A: Permutation and combination : Permutation and combination are two distinct methods of representing a…

Q: 4. 1, 11, 21, 1211, 111221, . .. (Hint: Try reading the numbers aloud in different ways.)

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Q: A deli offers 14 different toppings. How many different groups of 3 can be made?

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Q: 12. An eye doctor keeps track of whether people who come in for testing need glasses. When she…

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Q: How many elements does the power set of {2, 3, 4, 5} have?     Write down four of the elements.

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