I was taught that there are four types of nouns:

• singular countable: journey, sheep, child

• plural countable: journeys, sheep, children

• singular uncountable: travel, water, fruit

• plural uncountable: groceries, customs, thanks

Also

• Some words are only used with countable nouns: one, two, three, many, number, few

• Some words are only used with uncountable nouns: much, little, good/great deal, quantity, amount

Am I right?

What about the word 'cattle'? You can say neither 'three cattle' nor 'much cattle'. (According to Practical English Usage) What type of noun is it?

If it is an uncountable noun why I can say 'many cattle' but not 'much cattle'? Isn't 'many' used only with countable nouns and 'much' only with uncountable nouns?

Also, you might consider 'staff' or 'jeans'. You can say for example 'four staff' but not 'a staff'. (According to Practical English Usage)