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Functions & sets formulas
7 formulas for Functions & sets, from the Algebra section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Union count | n(A ∪ B) = n(A) + n(B) − n(A ∩ B) | |
| Three sets | n(A∪B∪C) = ΣnA − Σn(A∩B) + n(A∩B∩C) | |
| De Morgan | (A ∪ B)′ = A′ ∩ B′; (A ∩ B)′ = A′ ∪ B′ | |
| Number of subsets | 2ⁿ | proper subsets 2ⁿ − 1 |
| Number of relations A → B | 2^(mn) | |A| = m, |B| = n |
| Number of functions A → B | nᵐ | |
| Composite function | (f ∘ g)(x) = f(g(x)) |
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