Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

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

A:

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8). (a) How many subsets of 6 elements does the set A have? subsets…

A:

Q: Assume that the set S has 14 elements. How many subsets of S have at most 4 elements

A: At most 4 means 4 or less.  Let us denote X=number of elements

Q: Set A = | { 2, 2, 4, 5,1,2,6,9, 4, 5, 6, 2 } |. How many elements are in this set?

A: We have to find number of elements in set A

Q: How many subsets does the set X = {r, s, t, 10, 20, 15} have? %3D

A:

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: How many 3-permutations of the set S = {a, b, c, d, e} are there?

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

A: We ahave to find no. Of subsets.

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

A:

Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

Q: How many subsets are there for the set {h, j}?

A: The given set is {h, j}.It is known that, “If a set contains ‘m’ elements, then the number of…

Q: Set A = |{ { A, B, }, {5,1 }, {1,3,5 }, { 3}, { 2,3} }|.  How many elements are in this set?

A: We have to find number of elements in set A

Q: How many elements does the successor of a set with n elements have?

A: Successor of the set, A is formed by adding an element {A} to the set. So, successor of A will be A…

Q: How many subsets are there of the set N = {6, 49}?

A:

Q: 15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?

A: Solution : A set S has 11 elements We want to find subset of S have at most 2 elements

Q: Use sets U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 7, 8), and B = {3, 4, 5, 6, 7, 9, 10) to…

A:

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Consider the set ? = {3,7,11,15,19, ... ,95,99,103}. At least how many elements must be selected…

A: In the given question we have to find the lest number of the element of the given set s.t there will…

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”.