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1. The Mishnah discusses the case of a person who tells his children that he is including in his Korban Pesach the first child to get to Yerushalayim.
2. The Mishnah discusses until when one may join a group that is offering a Korban Pesach.
3. If a person invites someone else into the group and the other members object, they may be forced to eat their portion separately.
4. The Gemara discusses whether the members of a group may force one of their members to take a portion and leave.
5. This discussion (#4) also pertains to people who share meals in general.
A BIT MORE
1. The Mishnah concludes that he really means that all of his children should receive a portion once the first child gets to Yerushalayim. He expressed his intent in this manner in order to make them hurry to Yerushalayim in order to perform the Mitzvah.
2. Tana Kama: One may join, or exit, a group until the Korban is slaughtered. Rebbi Shimon: He may join a group until the Korban is slaughtered, and he may withdraw from the group until the blood of the Korban is sprinkled on the Mizbe'ach.
3. This is according to the opinion that one Korban Pesach may be eaten in two separate groups.
4. If one of the members eats much faster than the others, it obviously is in the best interest of the group to give him his portion and ask him to leave, since, if he stays, he might eat an unfair share of the meat of the Pesach. On the other hand, perhaps he is entitled to stay with the group and eat the meat, based on the claim that "we are all in this together for as much as we can eat."
5. The Gemara relates that Rav Huna and Rav Papa shared meals, and Rav Papa ate four times as fast as Rav Huna. When Rav Huna said that they should divide the food equally, Rav Papa said that they had joined together for as much as each one could eat, and that Rav Huna therefore could not force a division of food.
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