Five friends $($Abby$,$ Heather, Kevin, Randy and Vijay$)$ have access toan on$-$line chat room. We know the following are true:$1$Either K or H or both are chatting$\mathrm{.}2$Either R or V but not both are chatting$\mathrm{.}3$If A is chatting, then R is chatting$\mathrm{.}4$V is chatting if and only if K is chatting$\mathrm{.}5$If H is chatting, then both A and K are chatting.Determine who is chatting. Propositional logic.