Sets, relations & functions

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Let $A$ be a set with $6$ elements and $B$ a set with $3$ elements. How many distinct functions $f: A \to B$ are there?

2. Warm-up

   Let $A$ be a set with $5$ elements and $B$ a set with $3$ elements. How many distinct functions $f: A \to B$ are there?

3. Warm-up

   Let $A$ be a set with $6$ elements and $B$ a set with $5$ elements. How many distinct functions $f: A \to B$ are there?

Problems shown under their original terms: Generated (template, solver-computed).