16. How many 6-element subsets of A = {0,1,2,3,4,5,6,7,8,9} have exactly three even

Q: O store associate at TRU wants to create a stu O 6 multichoose 29 O 29 to the power of 6 O 29! O…

A: Given, a bookstore associate at TRU wants to create a student bundle of 6 textbooks from among 29…

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

Q: How many possible ways are there to arrange the six items into the four boxes in such a manner that…

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Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

A: # we are entitled to solve one question at a time. Please resubmit the other questions of you wish…

Q: (a) there shall be 2 members from each class on the committee? (b) there shall be no grade 8…

A: A committee of 6 is to be formed from a group of 6, 8 and 10 grade 8, grade 9, and grade 10…

Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

A: Given  A=1,2,3,4R=1,2,1,3,2,32,4,3,1S=2,1,2,4,3,2,3,3,4,3

Q: 12. How many distinct 4-letter arrangements can be formed using the letters {A,B,C,D} if one of the…

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Q: A necklace consisting of 8 beads is to be made in a round rope. In how many ways can this be done?

A: given that 8 beads of necklace we can find this by using

Q: A class is consist of 12 boys and 10 girls. In how many ways can the class elect 4 members of a…

A: We have given that the class consist 12 boys and 10 girls. Total number of members = 22…

Q: In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?…

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

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Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

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Q: We form three groups 1, 2 and 3 using 8 red balls and 18 blue balls such that (a) all balls must be…

A: according to question, we form three groups 1,2,3 using 8 red balls and 18 blue balls with the…

Q: 2. In a group of 700 people, must there be 2 who have the same first and last initials? Why?

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Q: in how many ways can a committee of five Democrats and five Republican can be formed from a group of…

A: First, we calculate the number of ways to choose five Democrats:Now, we calculate the number of ways…

Q: 15. How many subsets of the set {1,2,3,4,5,6} have at least 3 elements? O 35 O none of these O 42 O…

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Q: Box 1 contains three cards bearing numbers 1, 2,3, box 2 contains five cards bearing numbers…

A: Given data: *The box 1 contains three cards with numbers 1, 2 and 3. *The box 2 contains five cards…

Q: 2. A group contains k men and k women, where k is a positive integer. How many ways are there to…

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Q: 1)How many integers between 1000 and 2000 are divisible by at least one of the integers 3, 5 and 7?

A: Introduction: In mathematics, integers are the sum of positive and negative numbers. Integers are…

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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Q: Use the pigeonhole principle to prove that any 6-element subset of {1,2,..., 10} contains a pair of…

A: This question from discrete mathematics and topic is pigenhole principle.

Q: #2. If fonel

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Q: The access code for a car security system consists of four digits. Each digit can be 0 to 9, How…

A: Givena car security system consists of 4 digits each digit can be 0 to 9

Q: 4. Let A = {a, b, c, d, e, f, g, h, i, j, k}. (a) How many subsets of A contain exactly 8 distinct…

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Q: In a set of eleven elements, two subsets A and B shall be determined, such that A contains 6…

A: Let U denote the set of eleven elements,  A is subset of U containing 6 elements and B is the set…

Q: A multiset is a collection of objects, just like a set, but can contain an object more than once…

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Q: A deck of 52 cards is equally dealt to 4 players. Find the number of ways to distribute the cards so…

A: Here given that there are 52 cards in Standard deck , 52 cards are equally dealt to 4 player .Here…

Q: onsider the 4-lists taken from {1,2,3}. For example, (1,2,1,3).  How many are there in which each…

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Q: How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any…

A: Explanation of the answer is as follows