Cantrips for each multi-class class?

Question

Would a Cleric 1 / Wizard 1 multi-classed character know 3 cleric cantrips and 3 wizard cantrips?

Answer 1

Yes, you would know 3 Wizard cantrips and 3 Cleric cantrips. The Cleric class says:

At level 1, you know three cantrips of your choice from the cleric spell list.

And the Wizard class says:

At 1st level, you know three cantrips of your choice from the wizard spell list.

Finally, in the multiclassing section, we have:

You determine what spells you know and can prepare for each class individually, as if you were a single-classed member of that class.

Cantrips are spells (see here), and are covered by this rule.