(Mishnah): If any Zevach became mixed with Chata'os ha'Mesos (Chata'os that cannot be offered; they must be left to die) or with Shor ha'Niskal (it was sentenced to be stoned), and we do not know which is which), even if one was mixed with 10,000, all must die;

If it became mixed with any of the following, all the animals are Ro'im (left to graze until they become blemished). They are sold, and a new Korban is brought with the highest amount of money received for any of them. The following animals forbid a mixture in this way.

An Aveirah was done with the animal;

The owner or one witness testified that it killed a person, or it was Nirva or Rove'a (played the female or male part in bestiality);

(Had there been two witnesses, it would be sentenced to die, and the law of Shor ha'Niskal (the first clause) would apply.)

It was Muktzeh (designated for idolatry) or Ne'evad (served like idolatry);

It was an Esnan (wages of a harlot), it was traded for a dog, it was Kilayim (a crossbreed), a Treifah or a Yotzei Dofen (an animal born through Caesarian section);

If it became mixed with Tamim Chulin animals, we sell the Chulin (without knowing which they are) to people who need to buy the same kind of Zevach (e.g. Olah. Now all the mixed animals are Olos. The law is like in the coming clause.)

If Kodshim became mixed with Kodshim, the following applies.

If all are the same Zevach, each is offered l'Shem its owner (Tosfos - Stam is l'Shem Ba'alim);

If they are different Zevachim, they are Ro'im, and (after they become blemished) we redeem them onto money;

New Korbanos are bought. For each we spend the highest value of an animal of the mixture. The owner suffers the loss.

If they became mixed with Bechor or Ma'aser (which are not redeemed), they are Ro'im. All are eaten like Bechor or Ma'aser (i.e. they may not be sold in the market or by weight).

It is possible for any two kinds of Zevachim to become mixed together, except for Chatas and Asham. (Asham is always a male sheep. This cannot be a Chatas.)

(Gemara) Question: Why does it say 'Even if one (Korban) was mixed with 10,000 (animals that must die)'? This is a smaller Chidush. We merely follow the majority!

Answer: It means, even if one animal that must die was mixed with 10,000 Korbanos (all must die. Tosfos - similarly, the next clauses also discuss one Pasul animal mixed with a majority of Korbanos)

Question: Another Mishnah teaches this!

(Mishnah #1): If an animal was Pasul for a Korban, e.g. a Nirva or Rove'a, and it became mixed with any number of animals, all are Pesulim for Korbanos.

Answer (Rav Sima): We need both Mishnayos;

If we had only Mishnah #1, one might have thought that the mixture is Pasul for Korbanos, but one may benefit from it (even when one may not benefit from some of the animals);

If we had only our Mishnah, one might have thought that only Isurei ha'Na'ah (animals forbidden to benefit from them) forbid a mixture, but not other Pesulim.

Question: Also our Mishnah teaches cases that are not Isurei ha'Na'ah!

Answer: It does not teach that one of them forbids a mixture of any size.

Question: It would have sufficed to teach (Isurei ha'Na'ah in) Mishnah #1! (Why were they repeated in our Mishnah?)

Answer: Our Mishnah teaches what can be done with the mixture.