٥륯åĥ
12Ĥ3ġߡ9Ĥ4ġߡʬΰ
723ڡ 0:06:34 43507
!!!
̤ˤʤˤͤ뤳Ȥʤ12C4*8C3*1/2ǽȻפǤ
ʤ󤫤Ǥ
͡ 723ڡ 0:07:36 43508
⡼ޥ
12!/(5!*4!*3!*2!)=13680
ǽ׻ְäƤޤ ^^;
¨ ^^;v 723ڡ 0:11:25 43509
⡼ޥ
Ǥְ㤤^^;
13860
¨ ^^;v 723ڡ 0:14:18 43510
ʪ
12c3*9c4/2Ǥ


https://docs.google.com/forms/d/15T4Pz9IxyPxdGtJle2gmQF_ BOs4fZEhJjX86_YhxsQ4/viewform
723ڡ 0:16:38 43513

12C77C32Ȥޤ
ǽ飲dzΤ魯ޤ
Ҥͤʤ
723ڡ 0:16:58 MAIL:nikotan@fat.coara.or.jp 43514
ʪ
ߤޤ󡢥ڡäƤ
723ڡ 0:17:06 43515
٥륯åĥ
­ʤΤǤҤͤʤǽޤ
轵꤬Ƥ򤱤ʤä⡢϶ϫ
723ڡ 0:19:10 43516
ޤ
˰줿Ȥ줿ȤĤϼľ˾ʬƤޤ
οʤʤդˤʤޤ
723ڡ 0:19:32 43517
ޤ
˰줿Ȥ줿ȤĤϼľ˾ʬƤޤ
οʤʤդˤʤޤ
723ڡ 0:23:17 43518
ޤ
˰줿Ȥ줿ȤĤϼľ˾ʬƤޤ
οʤʤդˤʤޤ
723ڡ 0:23:31 43519
ߤ
ʣˣĤȣĤʬ
Ĥʣ֣ġʣ¡򣱸ġܣᣲ̤

ʣˣĤȣĤʬ
Ĥʣ֣ġʣ¡֣ġʣá򣱸ġܣܣᣳ̤

ʣˣĤȣĤʬ
Ĥʣ֣ġʣ¡֣ġʣá֣ġʣġ򣳸
ܣܣܣᣱ

ʣˡʣˤιפϣܣܣᣱ

礭ΤΥ٥ǤϤʤɡǫͶƳХ󥿡οأ餤
723ڡ 0:26:15 43520

ФϢ
δФäƤ˺ƤޤäƤޤ
٥륯åĥƱˡǤ
723ڡ 0:24:18 43521
ǯ
ݤ̵Υ󥹤֤ȺΥ󥹤֤ʬƷ׻ޤ
723ڡ 0:39:56 43522
ޥ
Ǥ1998ǯꡢΤޤޤǤ

ѤʤϡĤʬʤɤơݤʷ׻򤷤ƤޤޤȤ櫓ǡֳϤɤʤΤפȻפäƽꤷƤߤǤѤ...
iMac 723ڡ 1:10:07 HomePage:ARENA43523
(Keigei)
Υ󥹤Υ󥹤̤¿ΤȤޤ
Υ󥹤̣Ĥ礬 6C320 ̤ꡢ
Υ󥹤̣ġΥ󥹤̣Ĥ礬 6C2690 ̤ꡢ
̤Ϲ 110 ̤Ǥ
ξֶ̤ 9C4126 ̤ʤΤǡ
11012613860 ̤Ǥ
723ڡ 1:21:06 43524
ֿء׾ι
󥹤̤ơޤã̤
ʣ
ݤƤ顢󥹤ζ̤ʤᣲdzäơ13860̤ꡣ
723ڡ 5:36:26 43525
⡼ޥ
0,1,2򤽤줾졢5,4,3ĻȤä12οꡢ
6ΤȤؤƱΤϴĤʤΤ2dzФȡ
so
12!/(5!*4!*3!*2!)
Ȥޤ ^^
4,4,4ζĤäĤ䤳
¨ ^^;v 723ڡ 8:22:10 43526

ΣˣΤ127򣴡֣ΣĤ¤դƱȸʤΤȾʬʣ
127ᣱ̤ˤʤޤ

ǽϡʺ¦֤ο¦֤οˤȤ
Ĥϭʣˡʣ
Ĥϭʣˡʣˡʣ
Ĥϭʣˡʣˡʣˡʣ
Σѥ˾ʬơʺդƱʤΤ㤨кĤϱĤƱ˷׻顢̤ʷ׻ְ㤤?ˤȤʤäΤǤ
723ڡ 9:54:05 43527

ߤ󤵤ǫ˽񤤤ƤäƤΤǡʬΥߥ狼ޤ
ĤΤȤΣܣܣᣲȤƤޤ
ߤ󤵤󤢤꤬Ȥޤ
723ڡ 10:02:01 43529
CRYING DOLPHIN
ʬƥꥴͤ褦Ȥ⡢¿Ʒ׻鷺ޡ

տƤ⤤ǥ⤫ФʤäΤǡȤ
֤ޤȤϻפ3Ĥ4Ĥ򤷤ޤˡ򡢡غ϶̤ʤ٤2dzäꤷơ
ǡ12394213860Ȥ顢ޤä餷

оΤȤǤʤ⤢Τǡñ2dzäȤפʤΤǤΤޤޤǤС줬ʤǤ礦
ï⤤ʤԳϡ 723ڡ 10:32:36 HomePage:֥⤢롣43530

CDν񤭹ߤ򸫤

Ȼפޤ
ȤС򣲸֣ĤȤξϡࣲǤϥᡦ
Ĥξ麸ǰ㤤ǤơࣲO.K.ǡ
Org

723ڡ 11:38:28 43531
ǯ
#43526⡼ޥ󤵤Ρ4,4,4ζĤäĤ䤳
ƱȤͤƤޤ
2ġֶ4ġ6ĤξƱǤ
4,4,4ξ硢Ȥ2,2,2ξΤߤ˺ƱȤ߹碌ȯ롣
⡢κ2,2,2Ȥ߹碌ƱΤˤ1Ȥꤺ¸ߤΤǡʬ2dz櫓ˤϤʤ
(12!/4!/4!/4!6!/2!/2!/2!)/2ȤȤˤʤΤǤ礦
ɵۥ󥹤3ĤääȺ𤹤뤷礦

723ڡ 14:07:56 43532
Mr.ǥ
ϡ󥹤϶̤ǤʤΡƱΡˤ
ֺýڤƱʤΰФؤƱˤʤϡ̡ˤϿ̤ȿ
ȹͤ
2010̤ȤˤʤʤΤǺߤĤĽ
ԤΤ褦ʹͤΤϡ錄
---------------------------------
⤷ơФؤʤΤǤϤȹͤľơΤ褦ˤ
ĤýڤΰФ̤
7Ĥζ̤ϡ
(12C3)*(9C4)27720̤
̤Ĥ
Ĥýڤ̤ʤΤ顡27720/213860̤
723ڡ 13:14:41 43533
uchinyan
Ϥˤϡơϡ
ࡤȤ߹碌εϻǤϤʤȤո⤢뤫ǤʤȤ⻻ηǼĤǤ̤˻ȤƤΤǧĺơ
ȤƤɸŪפǤ礦äȤ⡤Ūˤդİ˶ϫҤ⤤Ȼפ񤷤Ǥ礦
Τʴǡ

(ˡ1)
(Υ󥹤̤θĿ,Υ󥹤ֶ̤θĿ,Υ󥹤̤θĿ,Υ󥹤ֶ̤θĿ) Ƚ񤯤Ȥˤޤ
Υ󥹤˶̤ 6 ĤDZΥ󥹤˶̤ 1 Ĥξ
(2,4,1,0) (3,3,0,1) ʤΤǡ
6C2 * 4C4 * 6C1 * 5C0 + 6C3 * 3C3 * 6C0 * 6C1
= 15 * 1 * 6 * 1 + 20 * 1 * 1 * 6
= 90 + 120
= 210 ̤
Υ󥹤˶̤ 5 ĤDZΥ󥹤˶̤ 2 Ĥξ
(1,4,2,0) (2,3,1,1) (3,2,0,2) ʤΤǡ
6C1 * 5C4 * 6C2 * 4C0 + 6C2 * 4C3 * 6C1 * 5C1 + 6C3 * 3C2 * 6C0 * 6C2
= 6 * 5 * 15 * 1 + 15 * 4 * 6 * 5 + 20 * 3 * 1 * 15
= 450 + 1800 + 900
= 3150 ̤
Υ󥹤˶̤ 4 ĤDZΥ󥹤˶̤ 3 Ĥξ
(0,4,3,0) (1,3,2,1) (2,2,1,2) (3,1,0,3) ʤΤǡ
6C0 * 6C4 * 6C3 * 3C0 + 6C1 * 5C3 * 6C2 * 4C1 + 6C2 * 4C2 * 6C1 * 5C2 + 6C3 * 3C1 * 6C0 * 6C3
= 1 * 15 * 20 * 1 + 6 * 10 * 15 * 4 + 15 * 6 * 6 * 10 + 20 * 3 * 1 * 20
= 300 + 3600 + 5400 + 1200
= 10500 ̤
Υ󥹤ƱȤߤʤΤǰʾǤ٤ƤǤ
ǡ210 + 3150 + 10500 = 13860 ̤ꡤˤʤޤ

(ˡ2)
Υ󥹤̤θĿܤޤ
3 ĤDZ 0 Ĥξ硤6C3 * 6C0 = 20 * 1 = 20 ̤ꡣ
2 ĤDZ 1 Ĥξ硤6C2 * 6C1 = 15 * 6 = 90 ̤ꡣ
Υ󥹤ƱȤߤʤΤ̤ϰʾǤ٤Ƥǡ20 + 90 = 110 ̤ꡤǤ
ֶ̤̤äĤ 6 + 6 - 3 = 9 ĽΤɤФΤǡ9C4 = 126 ̤ꡤǤ
ǡξǤϡ110 * 126 = 13860 ̤ꡤˤʤޤ
ʤֶ̤ܤƤǤޤֶ̤ 2 ĤäˤϽʣΤǡ
(6C4 * 6C0 + 6C3 * 6C1) * 8C3 + 6C2 * 6C2 * 8C3 * 1/2
= (15 + 120) * 56 + 225 * 56 * 1/2 = 7560 + 6300 = 13860 ̤
ȤʤФʤ餺դɬפǤ

(ˡ3)
Υ󥹤ƱȤߤʤΤǤ 3 + 4 = 7 ǺƱˤʤ뤳ȤϤʤΤǡ
̤ƿȾʬˤФǤ
̤ȡФ 6 + 6 = 12 Ĥꡤֶ 3 Ĥ 4 ĤФ褯12C3 * 9C4 ̤ꡤǤ
ǡοϤȾʬǡ12C3 * 9C4 * 1/2 = 220 * 126 * 1/2 = 13860 ̤ꡤˤʤޤ

ʤߤˡǽ˻פդΤ(ˡ3)ǡƻ(ˡ1)Dz򤭡(ˡ2)˵դޤ
(ˡ2)ϡդ褦ˡƱˤʤʤ̤˷׻Τߥǡ񤷤Ȼפޤ
ޤ󡤶̤ǺΥѥƱˤʤˤϽʣθɬפޤ
ϳڤǤ͡
ͥνȡ 723ڡ 13:25:17 MAIL:uchi@sco.bekkoame.ne.jp 43534
ϺĹ
ȯ褿Τǡ񤭹ߡ
ޤͤȤäȹͤޤãĤͣ.ǥΤ褦ˤϻפĤ֤᤮ƤǸϣ򣱡¤֣ȸ褦ˣĤξʬƷ׻
Τ򸫤ٶޤϰȯǤ褷Ȥޤ
723ڡ 13:55:45 43535
⡼ޥ
#43532 ǯԤλ^^
(12!/(4!4!4!)-6!/(2!2!2!))/2!+6!/(2!2!2!)=(12!/(4!*4!*4!)+6!/(2!*2!*2!))/(2!)=17370

󥹤3ĤξͤƤߤޤ^^

󥹤3Ĥä0,1,2 줾11,4,3Ĥξ011-011, 021-021 ʣΤǡ
(18!/(11!*4!*3!)-3*6!/(4!)*6!/(2!*2!)-3*6!/(3!*2!)*6!/(4!*2!))/(3!)+6!/(4!)*6!/(2!*2!)+6!/(3!*2!)*6!/(4!*2!)=188790

0,1,2줾졢10,4,4Ĥξ
2-2-2, 3-1-2, 3-2-1, 4-1-1, 5-1-0,5-0-1 ξ礬ʣΤǡ
(18!/(10!*4!*4!)-3*(6!/(2!*2!*2!)+2*6!/(3!*2!)*6!/(2!*2!)+6!/(4!)*6!/(2!*2!*2!)+6!/(5!)*6!/(4!*2!)))/(3!)+6!/(2!*2!*2!)+2*6!/(3!*2!)*6!/(2!*2!)+6!/(4!)*6!/(2!*2!*2!)+6!/(5!)*6!/(4!*2!)
=498270+24480=522750

ʤ^^;
¨ ^^;v 723ڡ 15:15:36 43537
uchinyan
ǼĤɤߤޤ

#43506
ޤ񤤤Ĵٿˡ
ܺ٤Ǥ#43517ʤɤƱʤΤΤޤ

#43507#43508#43509#43513#43514#43521#43525#43526#43527Ⱦ#43530#43533#43534(ˡ3)
Υ󥹤˶̤ѥƱˤʤ뤳ȤϤʤȤ顤̤ƿȾʬˤˡ
̤ݤζŪʷ׻λˤϼ㴳ΥХꥨ󤬤ޤ

#43517#43520#43527θȾ#43534(ˡ1)#43535
Υ󥹤̤θĿǾʬƻ˿ˡ

#43524#43534(ˡ2)
Υ󥹤̤θĿǾʬƿˡ
#43517ʤɤȻƤޤ׻äȳڤˤʤޤ
#43534˽񤤤褦ֶ̤ǤϤʤ̤ǾʬΤ褦Ǥ

ʤ

#43530#43533
դɤΤ褦˲ᤵ줿Τ褯ʬޤ󤬡Υ󥹤̤ʤȤäƤ⡤
ĤΰФ¤ӤǣåȤʤΤǡΥ󥹤ΰФ夫鸫Ƥäƶ̤ƱǤʤ¤㤦ѥǡ
Υѥκؤ̤ʤȹͤΤʵޤ
ˡ#43530
оΤȤǤʤ⤢Τǡ
Ȥ#43533
ֺýڤƱʤΰФؤƱˤʤϡ̡ˤϿ̤ȿ
ȤβϤʤȻפޤ
ơ#43534ˤ⾯񤭤ޤǤϺΥѥƱˤʤ뤳ȤϤʤΤǡñȾʬˤФǤ礦

󡤺Ʊѥ󤬽ФƤˤϤθɬפޤ
#43526#43532̣Ḥֶ̂Ĥξ礬Ǥ
ơҤ٤Ȥ顤
(12!/4!/4!/4!6!/2!/2!/2!)/2ȤȤˤʤΤǤ礦
ϤǤ͡׻ 17370 ̤ Τ褦Ǥ

󥹤ĤǤƱͤ˹ͤޤ
ѤǤڤ꤬ʤ֤ʤʤäƤΤǤޤ (^^;
ͥνȡ 723ڡ 15:50:52 MAIL:uchi@sco.bekkoame.ne.jp 43538
baLLjugglermoka
νǤ뤳Ȥ30ʬ餤˵դơƲ򤤤396ƷȤ߹碌ȴƤޤ
723ڡ 20:15:35 43539
ǯ
#435323Ĥξĩ路Ƥߤޤ̤#43537ȤϤäȰäƤޤ
ʥ󥹤ϸĤǤϤʤܪǿ뤬ĤˤƤ
3ġA,B,CɽˤΤˤƱ֤ʤС18Ĥ¤Ӥȹ礻ϡ18!/(11!*4!*3!)Ǥꡢ󥹤ؤǽǤ뤿ᡢ
3!=6dzäơ18!/(11!*4!*3!)/3!ȤȤʤ뤬ºݤˤƱ֤롣
󥹤3Ĥǡֶ1143פξ硢3ĤƱȤ߹碌ˤʤ뤳ȤϤʤ
2ĤƱ֤ˤʤ뤳ȤΤǡA,Bξͤ롣
ɽA,B,CˤA,B,C θĿǵҤȡ2ĤʣȤ߹碌ϲ5Ǥ롣
510,510,123ˡ501,501,141ˡ420,420,303ˡ411,411,321ˡ321.321,501
嵭ξ硢A-B-CB-A-CϽʣȯ뤬νʣοϡ
A뤤B֤1ĤˤĤ1ĤĤΤǡο¸ߤ롣
ABˤǤζֿCǤζֿ
18Ĥȹ礻18!/(11!*4!*3!)ˤϡB=AȤơˡA-A-C,A-C-A,C-A-AƤʤΤǡ3!dzˤ3ʬʤΤǤäƤ6dzɬפ롣
{18!/(11!*4!*3!)+3*6!/(5!*1!*0!)*6!/(1!*2!*3!) +3*6!/(5!*0!*1!)*6!/(1!*4!*1!) +3*6!/(4!*2!*0!)*6!/(3!*0!*3!) +3*6!/(4!*1!*1!)*6!/(3!*2!*1!) +3*6!/(3!*2!*1!)*6!/(5!*0!*1!)}/3!=187140
ȷ׻ޤϤ狼ޤ

724ʶ 7:48:39 43540
uchinyan
󥹤ĤΤȤݤǹͤ뵤ʤäΤǤ㤦ФƤ褦ʤΤǹͤƤߤޤ
ͤϳƱʤΤǤä񤭤ޤ͡

(󥹣,󥹣,󥹣,󥹣,󥹣,󥹣) Ȥޤ

3 ġֶ 4 ġξ
ĤȤƱѥϤޤ󡣣ƱˤʤΤϼ̤ꡣ
(1,0,1,0,1,4), (0,1,0,1,3,2), (1,1,1,1,1,2), (0,2,0,2,3,0), (1,2,1,2,1,0)
ΤˣĤĤޤǡ
(18!/11!3!4! + 6!/5!1!0! * 1 * 6!/1!1!4! * 3 + 6!/5!0!1! * 1 * 6!/1!3!2! * 3 + 6!/4!1!1! * 1 * 6!/3!1!2! * 3
+ 6!/4!0!2! * 1 * 6!/3!3!0! * 3 + 6!/3!1!2! * 1 * 6!/5!1!0! * 3)/3!
= (1113840 + 540 + 1080 + 5400 + 900 + 1080)/6
= 1122840/6
= 187140 ̤

4 ġֶ 4 ġξ
ĤȤƱѥϤޤ󡣣ƱˤʤΤϼ̤ꡣ
(1,0,1,0,2,4), (2,0,2,0,0,4), (0,1,0,1,4,2), (1,1,1,1,2,2), (2,1,2,1,0,2), (0,2,0,2,4,0), (1,2,1,2,2,0), (2,2,2,2,0,0)
ΤˣĤĤޤޤ֤ؤˤĤоΤʤΤǡ
(1,0,1,0,2,4) (0,1,0,1,4,2)(2,0,2,0,0,4) (0,2,0,2,4,0)(2,1,2,1,0,2) (1,2,1,2,2,0)
ξοƱˤʤޤǡ
(1,0,1,0,2,4) * 2, (2,0,2,0,0,4) * 2, (1,1,1,1,2,2), (2,1,2,1,0,2) * 2, (2,2,2,2,0,0)
(18!/10!4!4! + 6!/5!1!0! * 1 * 6!/0!2!4! * 3 * 2 + 6!/4!2!0! * 1 * 6!/2!0!4! * 3 * 2 + 6!/4!1!1! * 1 * 6!/2!2!2! * 3
+ 6!/3!2!1! * 1 * 6!/4!0!2! * 3 * 2 + 6!/2!2!2! * 1 * 6!/6!0!0!0! * 3)/3!
= (3063060 + 8100 + 270)/6 + 90 + 225 + 900
= 511905 + 1215
= 513120 ̤

3 ġֶ 4 ġξϡ#43537Ȥϰ㤤ޤ#43540ȰפƤޤ͡פʡ
4 ġֶ 4 ġξϡ#43537Ȥϰ㤤ޤࡤɤʡ

ʤϥ󥹤 1 Ĥ̤ʤޤǤޤ
ڤ꤬ʤǤʤȤ 1 Ĥϥ󥹤롤Ȥˤʤȡˤ䤳ʤꤽ
ͥνȡ 724ʶ 12:58:01 MAIL:uchi@sco.bekkoame.ne.jp 43541
ǯ
󥹣ܪ 4 ġֶ 4 ġξ
#43540Ʊ褦ˤäȤ#43541Ʊ̡513120ˤˤʤޤ
ݥȤ2ƱˤʤȤֶȤ߹碌ְ㤤ʤɤǤ
׻ݤǤ3ܪʤ顢Ҥ3Ĥ餤ˤƤʤȡ

724ʶ 14:33:34 43542
⡼ޥ
#43540 ǯԤη׻λ
錄㡢510,501,420ȤäѤȴƤޤOrz
䤳ʤȤɤƤְäƤޤޤ^^;
¨ ^^;v 724ʶ 14:45:02 43543
ޤ
ޤǡ׻ְ㤤Dz٤ݤޤ
724ʶ 17:02:52 43544
⡼ޥ
#43541 uchinyan ^^
#43542 ǯԤ ^^
󥹣Ĥǡֶ̡̡ᣴĤΤȤϡ
(θĿ,θĿ,֤θĿ)Ȥȡ6Ĥ...
(5,1,0), (5,0,1), (4,1,1), (3,2,1), (3,1,2), (2,2,2) ¤ӤʣȻפΤǤ^^;
ְäƤΤʤOrz
¨ ^^;v 724ʶ 21:59:09 43545
ǯ
#43545⡼ޥ󤵤
#43541ˤ褦ˡ8Ƿ׻ޤ
(5,1,0), (5,0,1), (4,1,1), (3,2,1), (3,1,2), (2,2,2) Ǥ(4,2,0)(4,0,2)ȴƤޤ󤫡
724ʶ 22:33:30 43546
⡼ޥ
#43546 ǯԤ ^^
...ɤȴȴФä...^^;;
Ѽ餤ޤm(_ _)m
λǤä
¨ ^^;v 724ʶ 23:25:27 43547
uchinyan
#43547⡼ޥ󤵤
ǯԤΤŦ̤Ȼפޤ

#43546ǯԤ
Ŧ򤢤꤬Ȥޤ

ʤ
#43541
ڤ꤬ʤǤʤȤ 1 Ĥϥ󥹤롤Ȥˤʤȡˤ䤳ʤꤽ
ڤ꤬ʤΤľʤȤǤʤȤ 1 Ĥϥ󥹤롤ϡ
ǽ餫餽ξǹͤΤϾʬƤ䤳ʤꤽʤΤΡ
夫˹ʤΤȹͤС礷ȤϤʤǤ

3 ġֶ 4 ġξϡ󥹣İʾ˶̤ʤȤȤϤʤΤǡĤǤ
ϺꤽΤΤǡơ
187140 - 13860 = 173280 ̤

4 ġֶ 4 ġξϡϤꣲİʾ˶̤ʤȤȤϤʤΤǡĤǤ
#43532η 17370 ̤ ǡơ
513120 - 17370 = 495750 ̤

ȤʤꤽǤ
ͥνȡ 725ڡ 14:09:22 MAIL:uchi@sco.bekkoame.ne.jp 43548
⡼ޥ
#43548 uchinyan ^^
ޤ ^^;
andġ־ʤȤ⣱ĤΥ󥹤ˤ϶̤פⶽ̣ɤޤĺޤ ^^
ʤۤɤǤ͡
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