Consider numbers of the form a = a₁a2a3 . . . an, with n digits, each digit from the set {1, 2, 3, 4, 5, 6}. For example, if n = 4, the number a = a₁ª2a3ª4 will have 4 digits from the set {1, 2, 3, 4, 5, 6}. Let n = 15. a. How many such numbers are there? b. How many such numbers are there for which the sum of the digits is even? c. How many such numbers contain more even digits than odd digits?

Q: A = {1, 2, 3, 4, 5} B = {2, 4, 6, 8} C= {3, 6, 9} U= {x | x is a positive integer less than 11}…

A: topic - sets

Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

Q: In how many ways can four distinct numbers be chosen from the set {1,2,...,14} so that no pair among…

A: solution:- Probability when all four chosen numbers are not consecutive = 1 − Probability when all…

Q: . Let n =12,612,6x0,725,725 . a. If 9 | n, then x = ________ . b. If 11| n, then x = ________.

A: (a) We know 9 | n iff the sum of the digits of n is divisible by 9.     n = 126126x0725725    =>…

Q: Using the digits 0,1,2,....8,9 determine how many of each type of the three-digit number can be…

A: Given digits 0, 1, 2, ............., 8, 9 Any three digit number with zero at its first place…

Q: Now you try these: 15) Write out the following sets. 0 = { ",13,1S,17,19,213 joly a. Odd numbers…

A: I solved exactly first question because of bartleby policy(but i solved 2) qus if you want more…

Q: Refer to the sets below. Which set represents (C-A)NB ? U = {0, 1,2, 3, 4, 5, 6, 7,8,9} A = {3, 4,…

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Q: A = {1,4.9..... 256}. how many elements are in A?

A: Given that A=1,4,9,...,256Our Aim is to find the number of elements in A?

Q: Let A be the set of odd integers, and let B be the set of positive integers less than 10. Find An B…

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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: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

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

Q: A. Let A = {-2,-1,0, 1, 2}, B = {1, 2,5}, C = {n² ER:n € A}. For items (1)-(4), write TRUE if the…

A: A.  The set is A={-2,-1,0,1,2},B={1,2,5},C={n2∈ℝ:n∈A}.

Q: 30-35. Given L = {0, –2,2, –1,2,3, –4,1, –3} A = {-100, ... 99, 100, .. 201} B = {3,2,1,6,5,4] Write…

A: The given sets are:L=0,-2,2,-1,2,3,-4,1,-3A=-100, . . . , 99, 100, . . . , 201B=3,2,1,6,5,4We have…

Q: Let U={−6,−5,−4,−2,0,1,2,3,4}, E={−6,−4,−2,4}, F={−4,−2,0,1,2}. and G={−6,−5,1,2,3}. In each of the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Find the mode(s) for this lists of numbers.

A: The mode of any list of numbers is the number that repeated most frequently. If there are two…

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: Which of the following is/are correct for the set A which is the set of even numbers greater than…

A: Let A be the set of even integers greater than 20. Hence, set A={22,24,26,28,…}

Q: How many people must be chosen to be certain that at least two of them will have a. A birthday on…

A: To solve the problem, we use Pigeonhole principle.Pigeonhole principle: If there are more pigeons…

Q: A job applicant must answer 10 questions during job interview, choosing at least 4 from each of Sets…

A: Given, A job applicant must answer 10 questions during job interview. Choosing at least 4 from each…

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: . How many numbers of 5 different digits can be made from the digit 1,2,3,...9? 2. How many numbers…

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Q: Consider the following two sets:   C = {–10, –8, –6, –4, –2, 0, 2, 4, 6, 8, 10} B = {–9, –6, –3,…

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Q: Given set A = {-10, -5, 0, 5} and set B = {-2, -1,0, 1, 2, 3,4, 5}. What is A U B? {-10,-5,-2, -1…

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Q: Which of the following sets are equal? A. {2,3} × {3, 4} B. {3, 4} × {2,3} C. {2, 2, 3, 3} × {3, 3,…

A: To choose: The sets which are equal. A. 2,3×3,4 Find the set. 2,3×3,4=2,3,2,4,3,3,3,4 B. 3,4×2,3…

Q: . Find the number of distinct permutations that can be formed from all the letters of each   word…

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Q: 1. Given 10 numbers a1, a2,..., a10, from the set S of natural numbers S = {1,2,3,..., 100}. Prove…

A: One question at a time pls.....or 3 sub parts .....bartbley rules

Q: b. Create an input-output table with the figure number and the number of tiles in each figure for…

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Q: This question is split into four groups. Each group has exactly one correct answer. In this…

A: Let's do one by one. The absolute value or modulus of a real number x is  denoted |x|  Namely, |x| =…

Q: You have a set Y= { a, b, c, d, e}. How many ways can you arrange 2 elements of the set with…

A: Here, Y= { a, b, c, d, e}. Also arrange 2 elements of the set with repetition The repetition is…

Q: Identify the sets: The even natural numbers that are less than 12. Select one: a. {0, 2, 4, 6, 8,…

A: find the set of even natural number that are less than 12

Q: A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the…

A: We have given that A basket holds a set of balls. Each ball is red, green, or blue. How many balls…

Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A: We know that we can select r objects from n objects in Crn ways. Where,…

Q: Let U = {1,2, 3, 4,5. b.7,8.9}, A= (1,2,4,6,8, B= 12,4,5,9 C={x:x is a Positive integer and x?<16}…

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