20 The set [20] contains = = 15504 five-element subsets. How many of them contain more odd elements than even elements?

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 2…

A: A palette of 15 colors to work with, and wants to design a flag with 2 vertical stripes, all of…

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: Suppose I had the set {1,2,3} and wanted to make a list of 5 of those elements that contained one…

A:

Q: Which represents equal sets?. O A EB and BEA O IAI-IBI O All numbers in Set A are in Set B. O MCNand…

A:

Q: How may elements are in the set [-2, 2] \N?

A:

Q: in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play…

A:

Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is  {1,2,3,4,5,7,8}  and the range of numbers is 10 to 800. There would be 2…

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

A:

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: How many pairs of integers (a,b) exists such that the product of a,b and HCF of (a,b) is 1080??

A:

Q: Suppose any possible arrangement of 8 letters is considered a word and the letters are chosen from…

A:

Q: Suppose your professor wants you to choose 5 exercises from an exercise set containing 55 exercises.…

A: There is a set of 55 exercises.

Q: how many subsets does {8,9,10,11,12,14,15,16} have?

A: Using

Q: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

Q: An inventory consists of a list of 80 items, each marked "available" or "unavailable." There are 50…

A: Given: Number of items listed is 80, each marked as available or unavailable. There are 50 available…

Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

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

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: bank PIN is a string of four digits, each digit 0-9. How many choices are there for a PIN if the…

A: Given A bank PIN is a string of four digits, each digit 0-9. Odd numbers=1,3,5,7,9

Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: four largest 4-combinations o

A: Given: The set {1, 2, 3, 4, 5, 6, 7, 8} after {1, 2, 3, 5}. To find: The next four largest…

Q: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

Q: There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1,2, 3,…

A: Here given that there are 6 numbered balls in a bag. Each ball has a distinct number and the numbers…

Q: Show that you can make four distinct lists of books so that the total number of pages in the books…

A: Given: 15 text books is available and each with between 200 and 600 pages

Q: How many unordered sets are there of four items chosen from six? sets

A:

Q: How many unordered sets are there of four items chosen from eight

A: According to the given information in this question We need to find the value of C(8,4)

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”.