First graded Quiz questions bank PDF

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Summary

practice questions for the first three units, first graded quiz...

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Which of the following is an alternative way of writing the set

{-1, 1}

Which of the following is true for a power set? Select one: a. b. c. d. e.

A power set is a set where the order of its elements matters. A power set contains not all elements of its corresponding basic set. A power set always has more elements than its corresponding basic set. A power set contains always the empty set. A power set never contains itself.

Translate the following formula to English: All x and y are equal, if their cube values are equal.

Consider the implication

. What is an alternative way to write it?

What is logically equivalent to the statement: P

Consider the statement:

. What is an alternative way to write it?

Disjunction Conjunction

True or false? The Earth is a disk so water can't freeze. True, because P is false

The atomic statement is either true or false, and cannot be divided into smaller statements, while this is possible for the molecular statement. True

If a quiz has 12 multiple-choice questions, and each question has 5 possible answers, how many different ways are there to answer the quiz?

How many three digit numbers can be made from the digits digits are not allowed? 9*8*7 = 504

What is the seventh term in the expansion of n= 20, k = 6, 20!/(14!*6!) = 20*19*18*17*16*15 / (6*5*4*3*2) = 38,760 x^(20-7+1)y^(7-1)

if repetitions of

How many elements does the set 2^5 = 32

contain?

A wine maker decides to brew pink wine by mixing red and white wine. There is only one way to mix it: you add red and white wine. What if they were a third kind of wine, say, yellow wine? How many different ways to mix the wine are there so that it becomes (more or less) pink? 3 Red, yellow Red, white Red, white, yellow

Which one of the following is a partition of the set

?

Let and . How many proper subsets does 3 * 2 = 6 cardinality of cross product Subsets = 2^6 = 64 Null set isn’t “proper”. 64-1 = 63

have?

What is the value of ? 7! / (2! * 5!) = 7 * 6 / 2 = 21

If you want to wear 4 of your 10 bow ties next week (Monday through Sunday), how many ways can this be accomplished? n= 10, k = 4

20 students take a test with three questions A,B and C. 16 students answer at least one question correctly. 10 answer question A correctly, 8 answer question B correctly, 6 answer question C correctly. 3 students answer both A and B correctly, 4 answer A and C correctly and 1 student answers all three questions correctly. How many students answer questions B and C correctly? 2

How many five digit numbers have at least one digit that occurs more than once? Five digit numbers = 9*10^4 = 90,000 Unique digits = 9*9*8*7*6 = 27,216 Answer = 90,000 - 27,216 = 62,784

How many permutations are there for the letters a,b,c? 3*2=6

Suppose that a bag contains nine differently colored balls. How many different ways are there to choose three differently colored balls from the bag? 9! / (6! * 3!) = 9*8*7 / 6 = 84

If following quantified propositions over

Is the statement False

then which one of the is true?

a law of logic?

If

and ?

then what is the value of the propositional expression

1 or 0 = 1

Which one of the following statements is equivalent to

?

Which one of the following quantified propositions is true if

Let true?

If

?

Which one of the following statements is

then which one of the following is the truth set of the

proposition Subsets with cardinality of 3

Let the following statements is true?

and

be propositions over

Which one of the following statements is logically equivalent to Not p or not q

If following quantified propositions over

. Which one of

?

then which one of the is true?...