Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many subsets of A are there? That is, find |P(A)|. b. How many subsets of A contain exactly 5 elements? c. How many subsets of A contain only even numbers? d. How many subsets of A contain an even number of elements?

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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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: Evaluate.

A: ∑k=1106-12k

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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: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: If P = {1, 2}, form the set P × P × P.

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Q: 31. (3x + ²) + ( ²² + 31/1) d dz = 0

A: (a) given differential equation 3x+6ydx+x2y+3yxdy=0 this is of the form M dy+N dx=0 here N=3x+6y ,…

Q: 3. There are one hundred tickets in a box, numbered from 1 to 100. Draw once from the box. a. Is…

A: Define the events, A : The number is even B : The number is less or equal to 30 There are 1 to 100…

Q: A drawer contains 10 red socks, 10 blue socks, 10 green socks, and 10 yellow socks. What is the…

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Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: Determine the identity element of the set N={1,2,3,..} of positive integers with addition.

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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: 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: The given sets below are finite. Determine the set with the least number of elements. *       a. Set…

A: We will find the cardinality of each set and claim the result asked.

Q: Let U= {x |x E N and x< 10}. Let A = {x | x EN and x is odd and x< 10}. Let B = {x |x EN and x is…

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Q: Let A be the set of all positive integers whose last two digits form a number that is evenly…

A: We have the given condition as   Let us consider A be the set of all positive integers whose last…

Q: Specify the set by description. {10, 20, 30, . . . , 90} {multiples of 10 between 0 and…

A: Given set is: 10, 20, 30, ......, 90

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: 2 For each table of values, write an expression that relates the input to the output. a) b) Input…

A: Given query is to find the relation between input and output.

Q: Let X-Bin (7,0.5), then P(X >4|X >3) is O a. 0.688 O b. 0.646 O c. 0.453 d. 0.393 O e. 0.227

A: The variable X follows binomial distribution with sample size n of 7 and the probability p of 0.5.

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: is possible equation of classes:  Select one or more than one:  a.

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Q: 1. The greatest common divisor c, of a and b, denoted as c = gcd(a, b), is the largest number that…

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Q: Max Z 3x, +5x, +2x, -2x, +2.x, + x, 10 3x, + x, - x, s 20 X, x, and x, 20 *; 20

A: The problem is converted to canonical form by adding slack, surplus and artificial variable.   Here…

Q: Suppose that five microchips in a production run of fifty are defective. A sample of seven is to be…

A: The provided information is as follows:The total production run is 50.The number of defective…

Q: Let X be a set of integers. How many integers are needed to guarantee that there is a difference…

A: We shall be using the Pigeonhole principle

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Q: List the elements of the given set. the set N of all negative integers greater than or equal to −2 N…

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Q: Jeremy is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

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Q: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

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