In phoenix, a Galaxy far, far away, there are $2021$ planets. Define a $fire$ to be a path between two objects

in phoenix. It is known that between every pair of planets either a single fire burns or no burning occurs.

If we consider any subset of $2019$ planets, the total number of fires burning between these planets is a

constant. If there are $F$ fires in phoenix, then find all possible values of $F$.

I have not understood the problem. Please help me to understand it. [Note: I am not good at English. ]

## Fires of planets of Phoenix

- Enthurelxyz
**Posts:**17**Joined:**Sat Dec 05, 2020 10:45 pm**Location:**Bangladesh-
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### Fires of planets of Phoenix

and miles to go before we sleep

and miles to go before we sleep

and miles to go before we sleep

- Mehrab4226
**Posts:**212**Joined:**Sat Jan 11, 2020 1:38 pm**Location:**Dhaka, Bangladesh

### Re: Fires of planets of Phoenix

Let there are $2021$ points in a plane. $2$ points can be either connected by a line or not. If you choose any $2019$ points and count the number of lines present in the $2019$ points then the number of lines will always be constant. If $F$ is the total number of lines in the plane. Find all the possible values of $F$.Enthurelxyz wrote: ↑Tue Apr 06, 2021 10:37 amIn phoenix, a Galaxy far, far away, there are $2021$ planets. Define a $fire$ to be a path between two objects

in phoenix. It is known that between every pair of planets either a single fire burns or no burning occurs.

If we consider any subset of $2019$ planets, the total number of fires burning between these planets is a

constant. If there are $F$ fires in phoenix, then find all possible values of $F$.

I have not understood the problem. Please help me to understand it. [Note: I am not good at English. ]

*The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.*

-Henri Poincaré