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## Discrete Mathematics Resources

Consider the following compound propositions:   A = (P→Q) Λ (Q→R) B = (P→R) a)Determine whether A ≡ B. Support your answer using truth table. Give reason for your...

2. Express the following statements using quantifiers:  a)There is a student who can speak Mandarin language. b)Some student has visited Australia but  has not visited New Zealand...

number can be used once. examples. let say that the choosen numbers are 10, 11, 12, 15, 18, 25, 32, 36 you can write 11+25=36 or 10+12+18=15+25. i tried to prove for summation for...

Q: Suppose that you received the encrypted message 1074 2395 2208 1518 1074 2518 2400 2119 161 320 Decrypt the message using RSA Cipher with Key (2537,1949)

Suppose a machine on average takes 108 seconds to execute a single algorithm step. What is the largest input size for which the machine will execute the algorithm in 2 seconds assuming the number...

Prove that for every positive integer n, n ∑ k= 1, k2^k = (n-1)2n+1+2.   I'm not really sure where to start with this problem, I think it may use mathematical induction....

I have tried direct proof and proof by contradiction. Prove: 3(√2)-5 is irrational given that √2 is irrational Thats pretty much it, I have had a few starts but they dont go anywhere. &nb...

Using the predicates P(x) to denote “x is a politician”, R(x) to denote “x is rich”, L(x) to denote “x is a lobbyist” and K(x, y) to denote “x knows y”, write down quantified logical stetements...

a) Find inverse of 9 mod 1453, with Euclidean Algorithm. b) Solve linear congrunece : 9x+2 ≡ 6(mod 1453) using inverse of 9 mod 1453.

Find a recurrence relation and initial condition for the number of ways to arrange cars in a row with spaces if we can use Cadillacs or Hummers or Fords. A Hummer and Ford requires two spaces,whereas...