Ritual monsters, and the rituals for them are in your regular deck.
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Synchro Monsters are placed in the Extra Deck along with the Fusion Monsters at the beginning of a Duel.
A Yu-Gi-Oh! Deck can contain anywhere between 40 and 60 cards, however most professional players play with 40 cards, since they have a greater chance of drawing the card they need each turn, that could win them the game. Fusion Monsters and Synchro's do not count as your deck, they go in your Extra Deck, as they are now known in 5Ds. If you look on a 5Ds play mat it says Extra Deck, if you look on an original it says Fusion Deck. Fusion Material Monsters and Tuner Monsters however, DO count as your deck and they must be placed within your main deck. Ritual Cards must also be in your main deck, as they do not fall into the category that allows you to place them in your Extra Deck, no idea why since they can't be summoned without a Ritual Spell Card.
You may have a total of 15 fusion and synchro monsters in your extra deck(renamed from fusion deck with the addition of synchro monsters)
ritual monsters-needs ritual card effect monsters-which have effects normal monsters-well they dont have anything except an atk and def fusion monsters-sendthe required fusion material monsters to the graveyard to summon a fusion monster from ur etra deck and synchro monsters-well you do whatever itt says on the card
Destroyed or tributed Fusion Monsters go to the graveyard. They will return to the Extra Deck if something tries to return them to hand or deck.