Discrete Math Prelims Flashcards

1
Q

is a well defined collection of objects

A

Set

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2
Q

∈ is read as

A

“ is an element of “

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3
Q

∉ is read as

A

“ is not an element of “

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4
Q

A method of describing a set where all the elements of the set are listed, separated by commas and enclosed between curly braces

E.g A ={1996,2000,2004,2008,2012}

A

Roster Form

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5
Q

A method of describing a set where all the elements have a common property. This property is not applicable to the objects that do not belong to the set.

E.g S={ x: x is an even prime number}

A

Set Builder

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6
Q

: is read as

A

“Such that”

Set P is the set of all elements such that x is a continent

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7
Q

is the number of elements in a set

A

Cardinality

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8
Q

Set A is a ______ of set B if all elements of A are also elements of B

A

Subset

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9
Q

sets whose elements are all the same, the order of which does not matter

A

Equal Set

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10
Q

sets with the same cardinality

A

Equivalent Set

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11
Q

it is the set of elements that are present in set A, set B, or in both A and B

A

Union

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12
Q

is the set of all elements in the universal set that are not in A

Denoted by A’

A

Complement

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13
Q

Contains all the elements which are common to both A and B. The set containing elements of A that also belong to or can be found in set B and vice versa.

A

Intersection

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14
Q

the set consisting of all elements which are in A but not in B

A

Difference

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15
Q

is a complete declarative sentence that is either true or false, but not both

Rodrigo Duterte is the current president of the philippines.

A

Proposition

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16
Q

~

A

Negation (not)

17
Q

A

Conjunction (And)

(one false = false)

18
Q

A

Disjunction (Or)

(one true = true)

19
Q

A

Implication (if then)

the truth value corresponds to the conclusion (e.g TF = false)

20
Q

A

Biconditional (if and only if)

(same = true)

21
Q

its truth table column consists entirely of entries with truth values T

A

Tautology (all true)

22
Q

its truth table column consists entirely of entries with truth values F

A

Contradiction (all false)

23
Q

two logical propositions P and Q are said to be ________ if they have the same truth value in all cases

A

Logical Equivalent

24
Q

is the arrangement of objects in a particular way or order

A

Permutation

25
Q

write the formula for Permutation

A

nPn = n!
n! = (n-1) (n-2) (n-3)……

26
Q

write the formula for the Permutation of objects taken r a time

A

nPr = n! / (n-r)!

27
Q

write the formula for Permutations with similar elements

A

n! / (r1! * r2! * r3! ….. rn!)

28
Q

write the formula for Circular Permutation

A

(n-1)!