Recent content by kingtaf

I am not sure if this was the right forum. if not let me know. An auto repair shop plans to sell a new brand of car battery with a 4-year warranty. Given: (i) If the battery fails within 4 years, the shop will refund a pro-rata share of the purchase price at the moment of failure. (ii)...

Check it out: 'Each of the faces of the cube are colored by a different of six fixed colors. How many of the colorings are distinct?' I figured it would be 6!,very simple. But no,there's a trick, can u figure it out!

A witness to a hit-and-run accident tells the police that the license plate of the car in the accident, which contains three letters followed by three digits, starts with the latters AS and contains both the digits 1 and 2. How many different license plates fit the description?

Show that if (2^p) -1 is prime then (2^(p-1)) * ((2^p) - 1) is perfect

Prove that the collection F(N) of all finite subsets of N (natural numbers) is countable.

Thank you everyone I got it. After Hoch's hint using n! - 1, I figured it out. It's actually pretty simple. I feel really stupid!

I considered Bertrand's Postulate but as hochs said it got messy.i still can't figure it out

Prove or disprove: If n is an integer and n > 2, then there exists a prime p such that n < p < n!.