1)

(a)Before beginning the third Payis - they would announce 'Chadashim li'Ketores Bo'u v'Hefisu'!

(b)Only Chadashim were permitted to participate - because the Ketores enriched, and it was only fair that, once a Kohen had had his turn (and was assured of becoming wealthy, he should stand down and give other Kohanim a chance to do likewise).

(c)They then not restrict the Kohanim in the same way by the Olah as they did by the Ketores (even though, it too, is written in the same Pasuk) - because it is more common that the Ketores, and logically speaking, 'Barech Hash-m Cheilo" pertains to what is uncommon (otherwise, every Kohen would become rich (see Tosfos Yeshanim).

2)

(a)Rava learns from the combination of the two Pesukim "Yoru Mishpatecha l'Yakov" and "u'mi'Bnei Yisachar Yod'ei Binah la'Itim ... " - that one cannot find (or it is hard to find) Talmidei-Chachamim who are able to issue rulings from any tribes other than Levi and Yisachar.

(b)Yehudah too, by whom the Torah writes "Yehudah Mechokeki" - are able to issue rulings, but not strictly in accordance with the Halachah in the way that Levi and Yisachar are (though this distinction requires clarification - see Agados Maharsha).

3)

(a)Rebbi Yochanan says that the same Kohanim who merited to bring the Tamid shel Shachar, also brought the Tamid shel Bein ha'Arbayim. And he establishes the Beraisa which says ...

1. ... 'Keshem she'Mefaysin Shacharis, Kach Mefaysin Bein ha'Arbayim' - by the Ketores.

2. ... 'Keshem she'Mefaysin Lo b'Shacharis (masculine), Kach Mefaysin Lo Bein ha'Arbayim' - to read 'Keshem she'Mefaysin Lah (feminine) b'Shacharis - so that it now pertains to the Ketores.

3. ... that just as they made a Payis for both the Ketores and the Tamid in the morning, so too, did they make one in the afternoon - by Shabbos, when the Mishmar who serves in the afternoon is not the same one that served in the morning (in which case, they had no choice other to make new Payis).

(b)The reason that they made a new Payis for the afternoon Ketores, even though they did not make one for the afternoon Tamid - is because no Kohen was allowed a second chance to merit the Ketores, as we learned earlier.

(c)The Makshan will ascribe the four Payasos (and not five) - to the fact that they made the Payis for the Tamid shel Bein ha'Arbayim in the morning, straight after the Payis for the Tamid shel Shachar.

4)

(a)The fourth Payis, in which every Kohen was involved, comprised who would carry the limbs from the ramp on to the Mizbe'ach.

(b)The author of our Mishnah cannot be Rebbi Eliezer ben Yakov - because he holds that the same Kohen who carried the limbs to the ramp, also carried them from the ramp to the Mizbe'ach (no Payis would therefore be necessary for that).

(c)Rebbi Eliezer ben Yakov disagrees with the Tana of our Mishnah (in spite of the fact that he (the Tana of our Mishnah) bases his opinion on the Pasuk "b'Rov Am Hadras Melech") - because he considers it disrespectful to convey the impression that carrying the limbs on to the Mizbe'ach is a burden with which one cannot cope.

(d)All Tana'im agree that there were four Payasos. Consequently, since, according to Rebbi Yehudah, the Kohen who carried the Machtah did not require a Payis, the fourth Payis must have been the one to determine who would carry the limbs from the ramp on to the Mizbe'ach (not like Rebbi Eliezer ben Yakov). Similarly, since Rebbi Eliezer ben Yakov does not require a Payis to determine which Kohanim should carry the limbs from the ramp on to the Mizbe'ach, the fourth Payis must have been to determine which Kohen should take the Machtah (not like Rebbi Yehudah).

5)

(a)We learnt earlier that nine Kohanim were needed to carry the limbs of the Tamid (on to the ramp and) from the ramp on to the Mizbe'ach. They needed ...

1. ... ten Kohanim on Sukos, one extra Kohen to carry the flask of water for the Nisuch ha'Mayim.

2. ... eleven Kohanim for the Tamid shel Bein ha'Arbayim - two extra Kohanim to carry the two blocks of wood for the Sidur Shnei Gizrei Etzim, and two extra Kohanim for Shabbos - to carry the two bowls of Levonah to place on the Table beside the two rows of the Lechem ha'Panim.

(b)On the Shabbos of Sukos, they needed twelve Kohanim, two extra Kohanim for the two bowls of Levonah, and one for the flask of water.

6)

(a)Rebbi Aba proves that the Nisuch ha'Mayim must have been performed on Sukos morning (together with the Tamid shel Shachar) and not in the afternoon (with the Tamid shel Bein ha'Arbayim) - from the fact that the Tana presents the case of twelve Kohanim specifically on Shabbos Sukos; now, if the Nisuch ha'Mayim had taken place in the afternoon, then even on a Sukos weekday they would have required twelve Kohanim, two (over and above the nine) for the two blocks of wood, and one for the flask of water.

(b)Rav Ashi bears this out with the Mishnah in Sukah - which describes how, on one occasion, when it came to the Nisuch ha'Mayim ceremony, the Kohen poured out the water at his feet (in true Tzedoki style); and it goes on to describe how the people stoned him with their Esrogim. Had the Nisuch ha'Mayim taken place in the afternoon, Rav Ashi concludes, why would the people have been holding their Esrogim? This proves therefore, that it must have been performed in the morning.

7)

(a)We already know from the Pasuk in Vayikra "u'Vi'er Aleha ha'Kohen ba'Boker ba'Boker, v'Arach ... " - that the Kohanim are obligated to add two blocks of wood on the Mizbe'ach each morning when they brought the Tamid shel Shachar. In that case, why does the Torah write in Vayikra "v'Archu Etzim"? It must be, says Rebbi Shimon, to add the mitzvah of adding two blocks of wood by the Tamid shel Bein ha'Arbayim.

(b)We cannot establish both Pesukim by the Tamid shel Shachar, and the two Pesukim come to teach us that ...

1. ... two sets of Kohanim need to place two blocks of wood each, one after the other - because then, why did the Torah change from the singular ("u'Vi'er) to the plural ("v'Archu")?

2. ... first one Kohen places one block of wood, and then two Kohanim place another two blocks - because then the Torah should have written either "u'Vi'er" and "u'Viaru" or "v'Arach" and "v'Archu". Since it changed from "u'Vi'er" to "v'Archu", it is clear that they are not referring to the same event, but one to the morning Tamid and the other, to the afternoon Tamid.

8)

(a)The seventeen Kohanim who merited in the Payis comprised thirteen as listed in the Mishnah, plus (on Shabbos which fell on Sukos) two for the bowls of frankincense, and one for the flask of water (making sixteen); the seventeenth must have been the Payis for carrying the limbs from the ramp on to the Mizbe'ach - like Rebbi Yehudah (as we proved earlier) and not like Rebbi Eliezer ben Yakov.

9)

(a)There was no difference between the number of Kohanim who carried the limbs of the lamb of the Tamid on to the Mizbe'ach and those who carried the limbs of the ram of the Musaf. However, whereas, one Kohen sufficed to carry each of the innards, the flour and the wine of the lamb, the innards, wine and oil of the ram required two each.

(b)

1. Eleven Kohanim carried the ram of the Musaf.

2. Twenty-four Kohanim carried the bull of the Musaf.

(c)Three Kohanim carried each of the innards, the flour and the wine of the bull and its Nesech respectively.

(d)One Kohen carried the head of the bull, and two, each of the hind legs.

1. Two Kohanim carried its tail;

2. three Kohanim, its neck;

3. two Kohanim, each of its two forelegs,

4. and two, each of its two flanks.

10)

(a)The Kohen who brought the Korban Yachid was permitted to carry all the parts of the Korban Yachid, if he so wished. (Note: Nevertheless, a Payis was necessary - to prevent Machlokes - to determine which Kohen should bring it [Tiferes Yisrael]. See also Hagahos Rebbi Yechezkel Landau.)

(b)The Hefshet v'Nitu'ach (the stripping and the cutting-up into pieces) of a Korban - could be performed by a Zar.

(c)We initially reject Chizkiya's contention that we derive a Zar's eligibility to perform Hefshet v'Nituach from the Pasuk in Vayikra "v'Nasnu Bnei Aharon ha'Kohen Esh Al ha'Mizbe'ach" - on the grounds that the Pasuk is required to teach us that only Kohanim may arrange the fire on the Mizbe'ach. So how can we learn anything from any inference (i.e. unless there is a superfluous word or letter, we can only make inferences there where the Pasuk has nothing intrinsic to teach us)?