# maths

posted by keshav

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How many different ways are there to create the groups?

1. Shame

Shame on you Keshav!!! Cheating on Brilliant!!! This site is meant to be a platform to practice your own skills, not to copy paste the questions and get free answers and then get incentives without effort. So either play fair and be honest or leave this site. People like you are shame to the Brilliant community. And to the others, please give the answer to this problem after Monday 10/6/2013, so that this cheat doesn't get the opportunity to cheat.

2. Well...

As per the previous comment I won't giv you the fully worked solution itself. But if you can give an example of a possibility of these 3 groups I will sure give a hint.

3. Calvin

Thanks for noticing, Shame. As such we have started tracking keshav's and mathlover's account( i.e. we are searching which accounts got these problems, and we are searching which accounts entered exactly the answers posted here, even if they are wrong at moreorless the same time or date). Currently we have pinpointed about five possibilities for keshav's account. A few more posts and he will be ours. Thanks for your cooperation, Shame.

-Calvin Lin
Brilliant Maths Challenge Master

## Similar Questions

1. ### Statistical Psychology

A social psychologist was interested in how communication patterns can affect creative problem solving in small groups. seven groups of each of two types were formed: vertical and horizontal. In the vertical groups, participants were …
2. ### math

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How …
3. ### math

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How …
4. ### heeeeeeeeeeelp math

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How …
5. ### heeeeeeeeeeeeelp math

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How …
6. ### math

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How …
7. ### pls heeeeelp math

The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups satisfy the additional property that if x is in a group and 2x≤10, then 2x is in the same group. How …
8. ### statistics

The outcome of a standardized test is an integer between 151 and 200, inclusive. The percentiles of 400 test scores are calculated, and the scores are divided into corresponding percentile groups. Quantity A Minimum number of integers …
9. ### Math

A football coach divides 42 players and 12 coaches into groups. Each group will have the same number of players and coaches. What is the greatest number of groups that can be formed?
10. ### Social groups

How do virtual groups differ from in -person primary and secondary groups?

More Similar Questions