perplexus.info :: Probability : Sum Digit Concern

Sum Digit Concern (Posted on 2010-03-13)

For a positive integer P drawn at random between 2 (base ten) and 2001 (base ten) inclusively, determine the probability that the sum of the digits in the base-P representation of 2009 (base ten) is equal to 11 (base ten).

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The required probability is 1/250.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution showing full program with base conversion	Charlie	2010-03-13 13:14:21
Computer Solution	Jim Keneipp	2010-03-13 12:54:28

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info