View Full Version : Please help to solve this problem!

jjcns

11-15-2004, 07:51 PM

Seven one-dollar bills are to be distributed among Lucia, Gomez and Domingo, so that each person recieves at least $1.

COLUMN A: The number of ways to distribute the bills so that at least one person recieves $3.

COLUMN B: The total number of ways to distribute the bills.

Answer: A and B are equal.

I cannot see why they have to be equal as Column A seems to be a subelement of Column B, thus Column B had to be greater. I guess my problem interpretation is incorrect...:hmm:

Will appreciate any help, thanks.

thebullfighter

11-15-2004, 09:19 PM

same Q, lots of approaches & explanations tht will hlp u-

http://www.urch.com/forums/showthread.php?t=15151

anything tht u still don't understand, don't hesitate..

krakow

11-15-2004, 09:29 PM

I dont know what are the numbers, but..

lets give one buck each person,

so I have 4 bucks left, now lets give 1 to L., 1 to G, and 2 D. L has 2, G has 2 and D has 3. At least one person (D) has 3.

Another option, those 4 bucks, lets give it only to D., so

L. has 1, G. has 1 and d has 5..

You see.. there will be always someone who receives at least 3. (too much $s.. ;))

so it in both cases (Col A & Col B) we distribute dollars in the same way..

jjcns

11-15-2004, 09:54 PM

Hi thebullfighter and krakow!

I thank you very much for your help, I'm going to digest your inputs now.

Good luck with your application!

jjcns

thebullfighter

11-15-2004, 10:46 PM

I dont know what are the numbers, but..

lets give one buck each person,

so I have 4 bucks left, now lets give 1 to L., 1 to G, and 2 D. L has 2, G has 2 and D has 3. At least one person (D) has 3.

Another option, those 4 bucks, lets give it only to D., so

L. has 1, G. has 1 and d has 5..

You see.. there will be always someone who receives at least 3. (too much $s.. ;))

so it in both cases (Col A & Col B) we distribute dollars in the same way..WOW!!!!! We do think alike...:)

an earlier post frm th link provided above.

column A is 15

column B is 15

so, C

Neverthless, is it possible to distribute 7 among three Without giving 3 to Atleast 1 of them (2,2,2 is 6, 1 has to be 3). thats wat column A asks for, Hence both have to be same anyways.

HTH

jjcs, gud luck to u2.

jjcns

11-16-2004, 06:00 PM

I got it, it makes sence, thanks again!