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One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are now in the car park?

∀n∈N, 1!3!…(2n+1)! > ((n+1)!)n+1 N stands for the natural numbers. I am having trouble manipulating the  ((n+1)!)n+1 term appropriately.

a) Alice is wise, if she is a doctor. b) If Alice spoke to Bob, then Eve overheard her. c) If Alice is wise, then she will be neither poor nor unhappy. d) Exactly two of Alice, Bob and...

Which of the following formulae represent f?   Select one or more: A. (P ^ Q) v (Q ^ R) B. (¬P ^ ¬Q ^ R) v (P ^ Q ^ ¬R) C. (Q → P) v (R → Q) D. (R → (¬P ^ ¬Q))...

Anyone know if this statement is valid or invalid?  C→ (A v ~B) / (~A → D) → E / B v ~ D // C → E

Are these sets of statements: logically equivalent, contradictory, consistent or inconsistent?   F * M / ~(F v M )   ~K → L / K → ~L   Would really appreciate the...

Although both parts of the questions yield FALSE, can you tell me why it's illogical to state it this way:   (5 >10 && 5 <5)

1+4=5 2+5=12 3+6=21 8+11=   I have seen 3 examples of answers people say are correct    Example 1 answer 96   1×4=4+1=5 2×5=10+2=12 3×6=18+3=21 8×11=88+8=96   Example...

Let A, B and C be different sets containing letters of the alphabet. Explain why there must exist some letter that is either contained in exactly one of the sets or contained in exactly two...