In the first chapter of Maseches Beitzah we now come to Mishnah 9, which deals with sending gifts of food on Yom Tov.
The View of Beis Shammai:
"Ein meshalchin b'Yom Tov ela manos" - one may not send gifts on Yom Tov other than portions. "Portions" means prepared food that is ready to be eaten, and not something that still requires cooking, slaughtering and the like.
The View of Beis Hillel:
"Meshalchin behemah chayah v'of, bein chayin bein shechutin" - according to Beis Hillel one may send:
Behemah - a domesticated animal.
Chayah - a wild animal, such as a deer.
Of - a bird.
And it makes no difference whether they are alive or already slaughtered, since they can be prepared on Yom Tov.
"Meshalchin yeinos, shemanim, selasos v'kitnios" - Beis Hillel go on to list additional items:
Yeinos and shemanim - wine and oil, which are ready for immediate use.
Selasos - fine flour and meal, since one is permitted to knead and bake on Yom Tov.
Kitnios - legumes, which may be cooked on Yom Tov.
The Restriction on Grain and the Dispute of Rabbi Shimon:
"Aval lo tevuah" - here Beis Hillel add a limitation: one may not send grain, because grain requires grinding, and grinding grain is not permitted on Yom Tov. Grinding is generally done in large quantities, which means it is a preparation for future need, and therefore it is not permitted.
"Rabbi Shimon matir b'tevuah" - Rabbi Shimon permits sending even grain. His reasoning is that although the grain cannot be ground into flour, one can make a kind of porridge from it and cook it, so it does have a use on Yom Tov itself.
The Gemara's Qualification:
The Gemara adds a qualification: when Beis Hillel permit sending these items on Yom Tov, they permitted it only by means of one person or two. Once three people carry them together, it looks like someone sending merchandise to be sold in the marketplace, and since this creates a false impression in the eyes of onlookers, Beis Hillel forbade it.
In summary: in this Mishnah Beis Shammai and Beis Hillel disagree about sending food on Yom Tov. Beis Shammai permitted only portions that are ready to be eaten, while Beis Hillel permitted even an animal, a wild animal and a bird - alive or slaughtered - as well as wine, oil, fine flour and legumes, since they can all be prepared on Yom Tov. Grain was forbidden because of the grinding, and Rabbi Shimon permitted it because it can be cooked as porridge. According to the Gemara's conclusion, the permission applies specifically when the delivery is made by one person or two, and not by three, because of the impression it creates.