How Do Spell Slots Work With Multiclassing 5e

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How Do Spell Slots Work With Multiclassing 5e
I'm jumping back into DMing D&D after decades off, and I have some questions about the 5e multiclassing rules. Specifically, how to determine spell slots when combining a spellcaster class with the Warlock class?
One of my players wants to be a Paladin/Warlock. I'm trying to figure out if the player uses the Paladin advancement chart on pg. 83 or the multiclassing chart on pg. 165 to determine how many spell slots he should have? My confusion stems from the way Pact Magic works with multiclassing.
Basically, if you multiclass a spellcaster and Warlock does that count as 2 spellcasters (so you divide your Paladin levels by 2 rounded down for the purpose of figuring out your spell slots) or just a single spellcaster (so you use the Paladin's standard spell advancement)?
For example, a Paladin 3/Warlock 3 should have the following spell slots:
1. x3 1st level Paladin spells slots and x2 2nd level Warlock slots.
OR
2. x2 1st level Paladin spells slots and x2 2nd level Warlock slots.
OR
3. Neither, I'm totally doing this wrong.
I'm hoping you guys can help me out!

How Do Spell Slots Work With Multiclassing 5e Spell

Essentially, you will have spell slots in your Warlock class AND spell slots in your other class(es). You can interchange these spell slots: use Warlock spell slots for spells you learned from another class, and vice versa. Example: Expend a 2nd level spell slot from your Warlock Pact Magic to cast a 2nd level Wizard spell you know. If you could stack your spell slots like you have written in your comment, you would have eight 1st-level spell slots, six 2nd-level spell slots, and three 3rd-level spell slots. That’s very incorrect. In fact, you need to consult the Multiclass Spellcaster: Spell Slots per Spell Level table on page 165 of the Player’s Handbook. Finally, at level 5, you get 3rd level spell slots that recharge on short rest. This is especially good for Fiend warlocks, as their subclass spell list includes Fireball. All these features add up to the most flexible multiclass dip. Pairing well with bard, fighter, paladin, sorcerer, wizard, and rogue, this dip blows away the competition.