148 Answered Questions for the topic discrete mathematics

Using arrow diagrams If 7 dice are rolled, and explain why must two at least be the same value?

Using arrow diagrams If 7 dice are rolled, and explain why must two at least be the same value?

how many random words...........

Using a standard cell phone keypad, how many random words (just letters strung together) can be produced from the PIN 23579?

total number of combinations

Write the total number of possible combinations of 5 dice being rolled at once?

give the probability

Write each as a set and then give the probability, of the following happening?a) From a full pack of picture cards (J,Q,K,A) an ace is dealt?b) From a set of a single die that a 4 is rolled?c) From... more

verify and explain

Let a = 67, b = 30, and n = 7 Verify and explain that (a-n)≡(mod b)

Using a Caesar cipher.........................

. Using a Caesar cipher decrypt the following message and determine the key used.TPIEWI VIEH QIHint: Find the common letters

Verify the following statements

Verify the following statementsa)128 ≡ 2 (mod 7) b)149 ≡ 5 (mod 9)c)(45-104)≡(3-2)(mod 6)

true or false?

5.:Let f: X →Y be a function.True or False?A sufficient condition for f to be one-to-one is that for all elements y in Ym there is at most one x in X with f(x)= y.

For all sets A, B, and C. Assuming each is a subset of a universal set U

For all sets A, B, and C. Assuming each is a subset of a universal set Ua)Is the following true? (A-B)∩ (C-B) = A- (B ∪C) b)Find a counterstatement to (a)

Let R={3,4,5,6,7,8,9} ,S={1,3,5} and T={ 2,4,6,8}

Let R={3,4,5,6,7,8,9} ,S={1,3,5} and T={ 2,4,6,8}a)R ∩ Sb)R – Tc)S ∪ T

Discrete variable 95% confidence intervals

For a discrete variable with values ranging from 0 to 100, what are the 95% confidence intervals if I sample 100 items? If I sample 200 items. Each sample measurement could be in limited... more

find the formula

For Tower of Hanoi, find the formula for the minimum number of moves for n discs.

prove the following loop

If the predicate a+b = even is true, the prove the following loop is truewhile (a >= 0 and a <= 100) { a = a + 3; b = b -1;}

sum of the first n integers

Use the formula for the sum of the first n integers, to evaluate the following:a) 3 + 6 + 9 + 12 + 15 + 18 + …. + 303b) 6 + 7 + 8 + 9 + 10 + 11 + …. + 102

mathematical induction

Use mathematical induction to show that change of at least 14c can be obtained using 3c and 8c coins. Show at least from 14c to 27c

Write the following as a ratio of two integers

Write the following as a ratio of two integersa) 0.222222222222b) 3.6666666

i have no idea about this?????????????

If n=4k+3 does 8 divide n^2-1?

divisable by 4????????????/

Is 6m(2m+10) divisible by 4?

any odd integer????

Prove that is x is any odd integer then ?(-1)?^x = -1

determine whether the property is true???

Determine whether the property is true for all integers, true for no integers, true for only some integers. ?(x+y)?^2 = x^2 + y^2

mathematical notation

Write the following is mathematical notationa) All cats are friendlyb) Some horses are unrideable

rewrite the following statements

Rewrite the following statements in the for ∀x, if ______ then _____ . a)All Perl scripts have more than 30 lines b)All friends are programmers c)All students have a GPA greater than 2.0

computer math

. Find the truth set for the following predicates: Hint: answer should be a { set } a) 8/x where x is an integer,the result is in the domain N b) 8 ≤ p^3 ≤ 125 the result is in the domain Z
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