Question
Let $A$ and $B$ be two finite sets with $|A|=m$ and $|B|=n .$ How many:Bijections can be defined from $A$ to $B$ (assume $m=n ) ?$
Step 1
There are $n$ choices for the first element. Show more…
Show all steps
Your feedback will help us improve your experience
Mohamed Mohamed and 88 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let $A$ and $B$ be finite sets such that $A \subseteq B,|A|=b,|B|=a+b .$ Find the cardinality of each set. $A-B$
The Language of Sets
The Cardinality of a Set
Let $A$ and $B$ be finite sets such that $A \subseteq B,|A|=b,|B|=a+b .$ Find the cardinality of each set. $B-A$
Let $A$ and $B$ be finite disjoint sets, where $|A|=a,$ and $|B|=b .$ Find the cardinality of each set. $A-B$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD