Waste less time on Facebook — follow Brilliant.
×

Bijections

Bijections, surjections, and injections are three types of functions which associate the elements between two sets. For example, each word in this sentence can be mapped to exactly one in the last.

Pizza Numbers Warmup

What is the maximum number of pieces you can divide this pizza into with a single cut?

Note: All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza.

What is the minimum number of cuts necessary to divide this pizza into 5 pieces?

Note: All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza.

Is it possible to divide this pizza into 8 pieces with 3 cuts?

Note: All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza.

Given that the pizza above has already been divided into 7 pieces with 3 cuts, what is the maximum number of pieces it could be divided into after one additional cut?

Note: All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza.

Is it possible to divide this pizza into 6 pieces with 4 cuts?

Note: All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza.

×

Problem Loading...

Note Loading...

Set Loading...