Simulating 2nd generation from 1st generation knowing there will be a recombinant

Question

[Elephantdumbo]

I have something that I want to make sure that it makes sense. I am not an expert on population genetics

For example: I have population at generation 1 individuals : (A,A,B,D) I know that there was 1 recombination events that happened leading to type K can assume that the population at generation 2 is composed of (K,-,-,-)

and I will figure out - - - by using multinomial distribution on generation 1 assuming wright and fisher model ?

Does this make sense ? I am not sure If I am right

Note: generations have the same population size