They can be present.

the scientific names is Basidiomycetes

Susie Percival Nichols has written:

'The nature and origin of the binucleated cells in some Basidiomycetes' -- subject(s): Cells, Basidiomycetes

Some beneficial basidiomycetes:

Amanita muscaria

Russula rosacea

Some edible basidiomycetes:

Agaricus brunnescens (the one ordered on pizza)

Pleurotus ostreatus (the oyster mushroom, my favorite)

Hericium ramosum

Some poisonous basidiomycetes:

Amanita phalloides (death cap, will kill you)

Amanita virosa (destroying angel, will also kill you, I think it's pretty)

Some really cool and weird basidiomycetes:

Ustilago maydis (corn smut)

Tremella mesenterica (Witches' Butter, it's edible, it's jelly-like)

Basidium