Grouping natural numbers.

Each of the 99 natural numbers in decimal format has 10 singles, 20 doubles and a number of zeros. Prove that these numbers can not be separated into two groups in such a way that the product of the first group was equal to the product of the second.

This text was edited by google translator, so sorry for all linguistic mistake.

please prompt and detailed response

Thank you very much for all answers

I'm sorry but I do not know 100% what topic is to move up

Re: very difficult task, needed for now,please

Quote:

Originally Posted by

**isel** Each of the 99 natural numbers in decimal format has 10 singles, 20 doubles and a number of zeros. Prove that these numbers can not be separated into two groups in such a way that the product of the first group was equal to the product of the second.

This text was edited by google translator, so sorry for all linguistic mistake.

please prompt and detailed response

Thank you very much for all answers

I'm sorry but I do not know 100% what topic is to move up

What's the rush? Where has the question come from? NB: MHF provides help, not detailed solutions.

Re: Grouping natural numbers.

I have to hurry because I have this job until tomorrow to send up to 18 It is a kind of additional work in mathematics. if you can not do this task, try advise me, how i can do it.

Ps

im from Polish here is 10 pm

Any of math forum in my country can't do it..