Saturday, January 23, 2010

The Mailing

A mail room employee of a business was asked to send a mailing to a 10% sample of their customers. Rather than randomly selecting the customers, he devised a selection scheme. He picked the first name on the list, skipped one and picked the next one, skipped two and picked the next, and so forth until he came to the end of the list. To his surprise, the last name selected was the last name on the list. Also, upon examination, he found that his system had selected exactly 10% of the names on the customer listing.

How many names were on the mailing list?

4 Comments:

Blogger Chris said...

If pick n letters, that there must have been
1+2+3+4+5+... +n = n(n+1)/2 letters altogether.

So require n = 0.1n(n+1)/2
As n <> 0 get 20 = n + 1 => n = 19.
So the toal number of letters = 190.

January 23, 2010 10:16 PM  
Anonymous Zaux said...

yep ... 19 and 190

January 23, 2010 10:27 PM  
Blogger Chris said...

You wouldn't believe what a mess I made getting that together. 6:30 AM prolly not the best time for thinking.

January 23, 2010 10:30 PM  
Blogger Nguyet said...

190...after a hardworking process:D

January 23, 2010 10:45 PM  

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