Sign up to access problem solutions.

Already have an account? Log in here.

Seek simple and succinct solutions in these systems by sussing-out the significant symmetries.

How many triangles can you find in this figure?

Sign up to access problem solutions.

Already have an account? Log in here.

There are 3 flights from California to France, and 2 flights from France to India. Sanjeet wants to fly from California to France and then to India.

How many choices does he have for his flight plan?

Sign up to access problem solutions.

Already have an account? Log in here.

We can color each square red, blue, or green. How many ways are there to color the squares such that any 2 adjacent squares are different colors?

For example, these are valid:

but these are not:

Sign up to access problem solutions.

Already have an account? Log in here.

If an \( n \times n \) grid composed of unit squares has a red perimeter, and exactly 44 of the unit squares have exactly one red side, how long are the sides of the \( n \times n \) square?

Sign up to access problem solutions.

Already have an account? Log in here.

If someone painted the outside of a \( 5 \times 5 \times 5 \) cube made out of \( 1 \times 1 \times 1 \) unit cubes, how many unit cubes would have paint on exactly 2 sides?

Sign up to access problem solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...