Search
Create
Log in
Sign up
Log in
Sign up
Finite Math Final
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (28)
every outcome is true
What is a tautology?
How to negate a compound statement: ~(P^Q) = ~P^~Q
What is DeMorgan's Law?
a compound statement that is false in every case
What is a self-contradication?
P^~Q
How do you negate a conditional statement?
~(P-->Q)
Q--->P
Give the converse of P--->Q
~P ---> ~Q
Give the inverse of P--->Q
~Q ---> ~P
Give the contrapositive of P--->Q
P--->Q
P
therefore Q
what is modus ponens
P--->Q
~Q
therefore ~P
aka. contrapositive
Modus Tollens
P--->Q
Q--->R
therefore P--->R
Law of syllogism
PVQ
~P
therefore Q
Disjunctive syllogism
P--->Q
~P
therefore ~Q
Fallacy of inverse
P--->Q
Q
therefore P
Fallacy of converse
All --> some and vice versa
None --> some and vice versa
Negative Quantifiers
if P then Q
if P, Q
P only if Q
P implies Q
not P or Q
every P is a Q (all)
Q if P
Q provides P
Q necessary for P
P sufficient for Q
Give the TEN equivalent forms of P--->Q
2^n (n= cardinality or number of things in set)
What is the formula to find the total number of subsets?
real, irrational
Which of the following are not countable: real, integers, natural, whole, rational, irrational
the union of the two circles (everything is colored in)
What is A U B?
the intersection of the circles (only the middle part)
What is A n B?
Given that: P(A and B)/ P(B)
What does P(A l B) mean?
two numbers added together to equal zero
What is an additive inverse?
two numbers multiplied together to equal one
What is a multiplicative inverse?
substitute one into the formula
When asked for the APY you:
number of choices^number of trials
Formula for permutations WITH repetition
P(n,r) or n!/(n-r)
Formula for permutations w/o repetition (keywords are order, rank, line up)
C(n,r)= n!/(n,r)!xr!
What is the formula for combination
total # of letters/the ones that repeat
Permutation word problems (mississippi, true/false, wins/loses)
set/sample space
Probability formula
;