Let $V$ be an affine space of dimension n over the finite field $\Bbb{F}_q$ of $q$ elements. How many $k$-dimensional affine subspaces are there in $V$?
So this is a question I came across while studying about affine space.I had encountered similar question related to vector space where they asked to find $k$-dimensional subspaces of an $n$-dimensional vector space $V$ over the finite field $\Bbb{F}_q$ of $q$ elements. I understood how it was found. So should I use the same methodologies or something else?
P.S. Affice space is something very new to me so if anyone can give a detail explanation of how to do or how to approach. I will be very thankful.