Knowee
Questions
Features
Study Tools

If S = {Φ, {a}, {b}, {a, b}, {b, a}, {a, b, c}, {c, a, b}}, then the cardinality of S  is 5.Group startsTrue or FalseTrue, unselectedFalse, unselected

Question

If S = {Φ, {a}, {b}, {a, b}, {b, a}, {a, b, c}, {c, a, b}}, then the cardinality of S  is 5.Group startsTrue or FalseTrue, unselectedFalse, unselected

🧐 Not the exact question you are looking for?Go ask a question

Solution

False. The cardinality of set S is 7. This is because the cardinality of a set is the number of elements in the set. In this case, S has 7 elements: Φ, {a}, {b}, {a, b}, {b, a}, {a, b, c}, {c, a, b}. Note that {a, b} and {b, a} are considered the same set because in set theory, the order of elements does not matter. However, they are listed as separate elements in set S, so they are counted separately.

This problem has been solved

Similar Questions

If S = {a, b, c}, Then the power set of S  is P(S) =  { ∅, a, b, c, {a,b}, {a,c}, {b,c}, {a, b, c} }Group startsTrue or FalseTrue, unselectedFalse, unselected

Let A denote the lower-case English alphabet {a, b, c, . . . , z} and let X = A × Z × A × (Q ∖ Z). Use set-roster notation to give an example of a subset of X that has exactly five elements.

If A = {1, 2, 3, 4, 5} , B = {a, b, c, d, e} and C = { -, +, x, @, *} , then which of the following is the not the element of set (A x B x C)?{1,a,#}{4,b,+}{5,a,@}{1,e,*

Write down all the possible proper subsets for each of the following. 1 {a, b, c, d} 2 {x} 3 φ 4 {5, 10}

Write down all the possible proper subsets for each of the following. 1 {a, b, c, d} 2 {x} 3 φ 4 {5, 10}

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.