The Rambam paskens that if you shecht a Korban Pesach for the sake of Chullin it is pasul. What would be the halacha if one performed the other Avodos for the sake of Chullin?
Also - the Rambam paskens that if one shechts the Korban Chatas for the sake of Chullin it is valid - unlike the Pesach. Why does the halacha of Chatas differ from the Pesach when the Mishna [at the beginning of Zevachim] equates the two [with respect to the halacha of shchita shelo li-shma]??
The Ohr Sameach shines:
