How many unordered sets are there of five items chosen from eight?

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

A:

Q: How many subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper?

A: Let the given set is A, having elements as

Q: If there are 350 four-block partitions of n that contain the set {n}, how many three-block…

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

Q: 20

A:

Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11-inch, iPad Pro 12.9-inch),…

A: Solution As per guidelines we answer the first question only when questions are different.

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly three 0s, five 1s,…

A: Total number of digits are 12 Given there are three 0's , five 1's and four 2's

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A:

Q: How many ordered lists are there of eleven items chosen from fourteen?

A: Ordered lists are the lists in which position of each one matters  This can be solved by using…

Q: How many different license plates are available if each plates contains a sequence of three letters…

A: There are 26 letters (A to Z) and 10 digits (0 to 9). Given that, the license plates consist of 3…

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: how many combinations are possible? assume the items are distinct. 16 items chosen 16 at a time

A: Only one combination is possible.

Q: Find the number of subsets that can be formed from a set containing 10 elements.

A:

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

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

Q: How many ordered lists are there of seven items chosen from twelve?

A:

Q: How many ordered lists are there of two items chosen from twelve?

A:

Q: How many ordered lists are there of ten items chosen from fourteen?

A:

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly four 0s, four 1s,…

A: The 12 ternary digits can be arrange in 10! ways, in which exactly four 0s, four 1s, and four 2s can…

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: Consider a bag containing six red marbles, two green ones, one transparent one, four yellow ones,…

A: We have 6 Red marbles2 Green marbles1 transparent marble4 yellow marbles2 orange marblesTotal no of…

Q: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

Q: Show that if seven integers are selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, there must be…

A:

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

A: Using

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

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: How many 4-letter strings of upper- and/or lowercase letters are there that contain at least two…

A: To determine the number of 4-letter strings of upper and /or  lowercase letters are there that…

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: How many subsets does the set  L = {3, 4, 5, 6} have?

A: Given, L = {3, 4, 5, 6}  No of elements in set L (n) = 4

Q: Ex: Problem: Among a set of 5 black balls and 3 red balls, how many selections of 5 balls can be…

A:

Q: How many strings of three decimal digits

A: Strings of three decimal digits:

Q: How many combinations are possible? assume the Items are distinct. 5 items chosen 2 at a time

A: C(n,r) = n! /{r! (n-r)!}

Q: how many ordered lists are there of three items chosen from six ?

A:

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

A: Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 =…

Q: How many subsets of a set with 64 elements have more than two elements

A:

Q: How many ordered lists are there of two items chosen from five?

A: To find the number of ordered lists.

Q: How many ways are there to select three unordered elements from a set with five elements when…

A:

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

A: To find unordered sets of two items chosen from eight. Number of unordered sets r chosen from n is…

Q: How many ordered lists are there of five items chosen from ten

A: According to the given information in this question We need to find the value of P(10,5) We know…

Q: How many subsets is obtained from a set with 5 elements?

A: Given n=5

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders.  It…

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

A: We have to find number of unordered sets of two items chosen from four items.

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)

Q: how many committes of seven with a given chairperson can be selected from 13 persons?

A:

Q: How many subsets are there of the set N = {1, 44, 65, 11, 39, 53, 26}?

A: Given,          The set is N=1, 44, 65, 11, 39, 53, 26We know that,          The number of subsets…

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, seven yellow ones,…

A: Use combination theorem:

Q: How many subsets of size 3 can one find in a set of size 5?

A: Hey, since there are multiple sub parts posted, we will answer the first question. If you want any…

Q: How many subsets of a set with 50 elements have more than one element?

A: Introduction:  Here we need to find how number of subsets have more than 1 element. Given:…

Q: Consider a bag containing seven red marbles, two green ones, one transparent one, seven yellow ones,…

A: Determine the number of sets of five marbles include at most one of the red ones but no yellow ones.…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.