My favorite:

"I could tell you, but then I'd have to bill you."

## Search found 24 matches

- Sun Jul 16, 2006 7:13 am
- Forum: Recreational
- Topic: Doctor's Advice
- Replies:
**8** - Views:
**5690**

- Sat Jun 17, 2006 8:34 pm
- Forum: Number
- Topic: Perfect Square With All The Same Digit Does Not Exists?
- Replies:
**3** - Views:
**2463**

- Sat Jun 17, 2006 12:41 pm
- Forum: Number
- Topic: Perfect Square With All The Same Digit Does Not Exists?
- Replies:
**3** - Views:
**2463**

Brute force... We know that a number with all digits the same can be expressed as d x 11...1 with d an integer from 1 to 9. This immediately tells us that d cannot be 2,6,8 as this would require 11...1 to be divisible by the "missing" factor of 2. In addition, we can eliminate the cases where d=1,5,...

- Fri Apr 21, 2006 8:28 am
- Forum: Clarifications on Project Euler Problems
- Topic: Problem 009
- Replies:
**47** - Views:
**14034**

Here's a way of explaning the problem without giving away and hints toward the solution. We want positive integers: a,b,c such that a+b+c=1000 and a 2 +b 2 =c 2 . It is clear by inspection that there are only a finite number of possibilities - the problem statement claims that there is only one set ...

- Fri Apr 14, 2006 8:27 pm
- Forum: Number
- Topic: For what value of n does 1/1+1/2+1/3+...1/n exceed a value?
- Replies:
**6** - Views:
**4841**

- Tue Apr 11, 2006 9:39 am
- Forum: Geometry
- Topic: Running in a field
- Replies:
**5** - Views:
**5365**

- Tue Apr 11, 2006 5:55 am
- Forum: Number
- Topic: Number of digit in factorial
- Replies:
**9** - Views:
**7641**

The key is that the number of digits of n! is going to be equal to int(log 10 n!)+1. The approximation tells you how to take the log of n!. It is an approximation, but for just needing to know the number of digits, it's probably fine. In fact, for your purposes, it probably works better for larger n.

- Tue Apr 11, 2006 4:35 am
- Forum: Number
- Topic: Number of digit in factorial
- Replies:
**9** - Views:
**7641**

A good starting point is

n! [approx] n

You might want to check out http://mathworld.wolfram.com/StirlingsA ... ation.html.

n! [approx] n

^{n}/e^{n}You might want to check out http://mathworld.wolfram.com/StirlingsA ... ation.html.

- Sun Apr 09, 2006 9:37 am
- Forum: Geometry
- Topic: Running in a field
- Replies:
**5** - Views:
**5365**

- Fri Apr 07, 2006 11:18 pm
- Forum: Number
- Topic: How Likely To Divide?
- Replies:
**12** - Views:
**9304**

- Fri Apr 07, 2006 11:00 pm
- Forum: Number
- Topic: How Likely To Divide?
- Replies:
**12** - Views:
**9304**

### Re: How Likely To Divide?

waldrop [quote="waldrop"] a third of all numbers can be divided by 3[/quote] You're assuming an even distribution for the sum of the squares of two randomly chosen integers. Begoner [quote="Begoner"] So the set of all the square numbers is {0, 1, 4, 6, 5, 6, 9, 4, 1} and they all occur with equal fr...

- Fri Apr 07, 2006 8:41 pm
- Forum: Geometry
- Topic: Running in a field
- Replies:
**5** - Views:
**5365**

### Running in a field

I am in the middle of a field, at the intersection of two paths. One runs (exactly) north-south and the other (exactly) east-west. (In other words, I am at the origin on the x-y plane.) I can run along the path at a rate of a . I can run through the field at rate b < a . What is area of the region t...

- Fri Apr 07, 2006 6:23 am
- Forum: Combinatorics
- Topic: Killing in Confusion (probability)
- Replies:
**3** - Views:
**3694**

- Fri Apr 07, 2006 4:26 am
- Forum: Combinatorics
- Topic: Killing in Confusion (probability)
- Replies:
**3** - Views:
**3694**

Assertion: For 3 people (n people), the order of the killing is determined by selecting a permutation of the set {1,2,3} ({1,2,...n}). All permutations have the same probability, 1/P(3) (1/P(n)). Of course, some of these permutations are equivalent in that nobody gets killed after the shooter kills ...

- Thu Apr 06, 2006 12:34 am
- Forum: Number
- Topic: How Likely To Divide?
- Replies:
**12** - Views:
**9304**

- Wed Apr 05, 2006 4:50 pm
- Forum: Combinatorics
- Topic: How many strings can we construct
- Replies:
**12** - Views:
**7736**

- Wed Apr 05, 2006 9:25 am
- Forum: Combinatorics
- Topic: How many strings can we construct
- Replies:
**12** - Views:
**7736**

- Wed Apr 05, 2006 12:38 am
- Forum: Combinatorics
- Topic: No Ones
- Replies:
**1** - Views:
**2441**

- Sat Apr 01, 2006 11:38 am
- Forum: Combinatorics
- Topic: How many strings can we construct
- Replies:
**12** - Views:
**7736**

- Thu Mar 30, 2006 7:49 pm
- Forum: Recreational
- Topic: Missing Wedding Ring Finger
- Replies:
**17** - Views:
**13415**