. 䳿 .
.
. 䳿 .
2 :
1) ; (, ) - 䳿. , (). (, ) , :
( ) '.
, , .
2) .
. . - ( = 1, 2, 3, 4, 5, 6). - . , ' , .
䳿 :
- 䳿 1 䳿 2. . . "" . 䳿 "' " "' " .
г - , 䳿. . "" . ij, , , .
- , ' 䳿. . . ' : " 1 2 ", " 1 2 ", " 1 2 ", " 1 2 ".
.
1, 2, 3, :
'
3 = 3! = 1*2*3 = 6
. 6 , 2 ( , )?
'
26 = 2*6! / 2!*(6-2)! = 1*2*3*4*5*6 / 1*2*3*4 = 5*6 = 30.
. 2 , 10 ?
'
210 = 10! / 2! * (10-2)! = 10! / 2! * 8! = 9*10 / 2 = 45.
.
1. . , .
'
- , .
- 10 , 10. ֳ , . . , 䳿 :
|
|
() = 1/10.
2. , , , ', , . , .
'
- , 2 .
, ,
210 = 10! / (10 - 2)! = 10*9 = 90.
, 90. ֳ , . 䳿 . , , , 䳿 , :
() = 1/90.
3. ' : " . , , , 4 ( )".
'
2 : 4 4. 䳿 1 , 2. , :
() = 1/2.
.
[( )^( ) = 6^2 = 6*6=36] ( - ). 䳿 3 : (1;3), (3;1), (2;2). ³, :
() = 3 / 36 = 1 / 12.
4. ': 7 ' 100 3 ' 150 . , 4 ' 150 .
'
, 6 10, 10 6 (610)
, 䳿 ( 6 4 ' 150 ).
' 100 , ' 150 - .
4 47 , 6 - 4 . 2 23 . 47 * 23.
:
() = 47 * 23 /610 =
= [(7! / {4! * (7-4)!}] * [(3! / {2! * (3-2)!}] / [10! / {6! * (10-6)!}] =
[7! / (4! * 3!)] * [3! / (2! * 1!)] / [10! / (6! * 4!)] =
[{5*6*7 / 1*2*3} * {1*2*3 / 1*2*1} / [7*8*9*10 / 1*2*3*4] =
= [(5*7) * 3] / [7*3*10] = 105 / 210 = 1/2.