subset

subset - A is a subset of B if all elements of the set A are elements of the set B

A set has a cardinality of 9. How many proper subsets does the set have? The set has 2^9 = [B]512 proper subsets[/B]

Determine if the statement below is True or False If B ? A, then A ? B = B Is this statement True or False? [B]True:[/B] If B ? A, then B ? A So A ? B is the similar elements of both. B contains itself as a subset. So this is [U]true[/U]

Find the subset of {a,b,c,d,e} Using our power set calculator, we find [URL=' the 32 subsets of {a,b,c,d,e}[/URL]

Free Permutations and Combinations Calculator - Calculates the following:
Number of permutation(s) of n items arranged in r ways = _nP_r
Number of combination(s) of n items arranged in r unique ways = _nC_r including subsets of sets

power set for S= {b,c,f} The [I]power set[/I] P is the set of all subsets of S including S and the empty set ?. Since S contains 3 terms, our Power Set should contain 2^3 = 8 items [URL=' to power set for this problem[/URL] P = [B]{{}, {b}, {c}, {f}, {b,c}, {b,f}, {c,f}, {b,c,f}}[/B]

Free Set Notation Calculator - Given two number sets A and B, this determines the following:
* Union of A and B, denoted A U B
* Intersection of A and B, denoted A ∩ B
* Elements in A not in B, denoted A - B
* Elements in B not in A, denoted B - A
* Symmetric Difference A Δ B
* The Concatenation A · B
* The Cartesian Product A x B
* Cardinality of A = |A|
* Cardinality of B = |B|
* Jaccard Index J(A,B)
* Jaccard Distance J_σ(A,B)
* Dice's Coefficient
* If A is a subset of B
* If B is a subset of A