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sNx(cxxr.
c1EXYc:XmY”
5::CG5
G! _.
Xl I--.
-.,cti
5>:*-_IT=._
c+YxxilJii~4 Tmmhln~ -n !(n-l)!
i&j, - =(nf I)!
n.(n-l).(n-2). . . . 3.2.1(n-l).(n-2). . . . 3.2.1
n
~l~t3!Jfll3(2)LW3lZh n! = nx(n-I)!
61 n = 19::$&il
I! = 1X(1-1)!
1 = 1x0!
1 =O!t ‘3uwm O! = 1
fjjfil - =(n+2)! (n+2).(n+I).n.(n-1). . . . .4.3.2.1,n ! n.(n-l).(n-2). . . . .4.3.2.1
= (n+2).(n+l)
= n2+3n+2
4. 9!
7 . n!x(n+2)!(n+3)!
n!x(n-3)!lo’ (n-l)!x(n-4)!
8, (n-3)!x(n-6)!(n - l)!
(3)
154 MA 103
\ aIn 4 \ Qlr.l4
MA 103 155
156 MA 103
MA 103
GGG, GGP, GGF, GPG, GPP, GPF, GFG, GFP, GFF, PGG, PGP,
PGF, PPG, PPP, PPF, PFG, PFP, PFF, FGG, FGP, FGF, FPG, FPP,
FPF. FFG, FFP, FFF.
157
158 h4A 103
MA 103 159
M A 103
MA 103
4!4p4 = -(4-4)!
4!zz-O!
4!=-1
= 4x3~2~1
= 24
162 MA 103
5!“p, = 5P3 = (5 -3)!
5!ZZ-2!
= 5x4~3~2~12x1
“P, = 4F’z = $&jj
4!=-2!
= 4x3~2~12x1
wflnasbQuufex:96
1224, 1242, 1422, 2214, 2241, 2142, 2412, 2124, 2421, 4122, 4212, 4221,
ez:%Canv4 ga 12 Bipaau
MA 103 163
3!=z
= 3 Biuau to
122, 212 mr 221
9!= 4!
= 3780 %
164 MA 103
MA 103 165
166 MA 103
1“C,., = (n-r)! &n+r)!
1
= (*-Xi r!
n != r! (n-r)!
MA 103 167
15x14x13x12x11x10!=5x4x3x2x1x10!
5X4X3!= 3!x2xl
1
2! ;,;-2,!- = 66
nfn-1) = 1 3 2
n’-n--132 = 0
(n+ll)(n-12) = 0
n = -11, 12Y
tlislxu n = 12
1 6 % MA 103
ii31 ‘c. = 9:_----5! I’
MA 103 169
7!=-3! 4!
= 7x6x5x4!3x2x4!
170 MA 103
MA 103 171
+( .r,) ab”-‘+( i) a’b”
= a”+na”-lb +nl)anmzb2 +...+n(n-l)...(n-r+l)a”-‘b’2! r.I
+...+nab”-‘ib”
= a + b
172
+k(k-l)...(k-r+l)r !
akW + . . . +kabkm’+bk
MA 103
(a+b)“” = ak+‘+kakb+.,.+ k(k-I)...(k-r+I)ak-r+,b’r !
+...+k(k-I)...(k-r+2)at-r+,br + +b~+,(r-l)!
. . . . . . . . . . (1 )
= ak+i+(k+l) akb+. + @+I)k...(k-r+2) alr-r+,br. .r !
+...+b”’ . . . . . . . (2)
k(k-l)...(k-r+2) k-r+l+l(r-l)! [ r I
= k(k-I)...(k-r+2) k - r + l + r(r - I)! [ r I
= (k+I)k(k-l)...(k-r+2)(r - I)!r
= (k+l)k...(k-r+2)r !
MA 103 173
A
J/12/ \,\,-0,14/ \ 1\,/ \
,,~~~“~~5X)~,,
174MA 103
(“:‘) = (,“J+(:>n !Gtlyd (,!I,>+(:> = ~jrr+l,!+&gm! (n-r+l)n!z
r(r-l)! (n-r+l)! + r!(n-r+ 1) (n-r)!
m! +(n-r+l) n!= r!(n-r+l)! r!(n-r+l)!
m! +(n-r+ l)n!zr!(n-r+l)!
= jr+(n-r+l)Jn!r!(n-r+l)!
(n+l)n!= r!(n-r+l)!
(n+l)!= r!(n-r+l)!
= (y’)
MA 103
#
175
3%?!1 (a-tb)’ = a5+5a4b+----‘X4 a’52 5x41x2 T __ a%’ -t Sab’ + bS
1x2
24 = (lil)'
176
= 673,5Y6xe #
= &KiiXiOX9Xr3!41x8! P*qJ
= 495 p8q4 #
177M A 1 0 3
12x11x10x9x8x7!=5! x7! aI4 (32b5)
= 792 x 32 a’4b5
= 25344 a14b5
bllfL:a9J-ln II = 12, r = 4
= 7920 a16b”
= 1’+8(1’) (.Ol)+y (16) (.01)2 +8x;x6 (1’) (.01)3
+8x74q6x5 (14) (.01)4+...
= 1+.08+.0028+.000056+.0000007+...
= 1.082856
(1.01)8 = 1 +8(.01)
= 1+.08
= 1.08v,
6.Rk.J (1 .Ol)* %lIhJlIU 1.08
178 Mfi 103
%I 1 wJo7 asI%Ylqwguwn9ulu n%~slerL~oaJdo~d~
1 . (a+b)6
2. (2x + y2y
3 . (x2 - 2y)6
4. (2x + y*))
5 . (x2-3y)4
6. (ia+2b)”
7. (2a2- b)’
ml%l8 drh9 wvl1bmwil9 "T
8. b~OB1d 3 Y89n14n%tP10 (~+2)~
9. rila8J~ 5 "uo9n15n5~oler(x+2y3)"
18. wLLW@14dli~o(~) = (;)+(;)+(;)+(;)+...+(;)
= 2”
19. =JwelS11(~)-(; )+(;)-(;)+.A(;) = 0
MA 103 179
Yw&Ju
22. (l.co4)’
23. (.993)3
24. (395)”
25. (.989)’
MA 103
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