Valency is combining the capacity of an atom and it tells us how many electrons an atom needs to lose, gain or share to attain stability to form a compound.
Valency of ammonia and ammonium ion
For (Ammonia): Nitrogen has a 5 valence electron in its valence shell. For completing its octet it requires more electrons for stabilization. Hence its valency is .
For (Ammonium ion): Nitrogen left its 1 electron unpaired, so for stabilization, it tends to lose one ion, so its valency is (+1)