20 1:

1.4:

.

.

1. 1.

2.

3.

2.

1.

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1.

.

1.

2.

3.

.

1.

2.

3.

.

3 , 20, 1.4:

(-)

.

() .

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4 , 20, 1.4:

.

, , - .

, . ( 1.2) ( 1.3) ( 1.4)

.

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:

n m ().

()

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( )

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,

:

6 , 20, 1.4:

+

n

mn 1

:

:

n

)!1()!1(

+

m

nm

nm

. 1. 1.

7 , 20, 1.4:

:1. .2.

( n m ):( n m ):

+

n

mn 1

C(A,B)=A!/B!(A-B)! , :

)!1(!)!1(

)!1(!)!1(1

+=

+

+=

+

mn

mn

nmnn

mn

n

mn

. 1. 2.

8 , 20, 1.4:

:1. .2. 3.

( n m ):nm

. 1. 3.

9 , 20, 1.4:

:1. .2. 3.

( n m ):

)!1()!1(

+

m

nm

. 2. 1.

10 , 20, 1.4:

:

:

40321 =++ xxx

0, ii xZx:

40 ( 40 ) 3 ( 3 ). :

=

+

4042

401340

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11 , 20, 1.4:

:

: ,

: .

.

:

5 , 10 8 . 3 . :

5 3

10 3 :

8 3 : :

=

+

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5135

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=

+

810

8138

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=

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5 9 . ,

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:) ( 1 ).

) . 6 ) . 6

) 2 . 4 .

) 5 6 .

) 9 9 ( 1 ). :

=

+

510

5165

=

510

15

101

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1:

() 13 13

() 10 20

() 100

15 , 20, 1.4:

() 100 4 , .

() 4

.

() 20 5

.

2 10 . 12 ( ).

1. 2.

.

16 , 20, 1.4:

.

3 20 3 . :1. 1 4 . 2. 1 2 .3. 3 4. 1 2 5 .

17 , 20, 1.4:

.

1 :

1. m n

2. O n m

18 , 20, 1.4:

1 , 0, 1,...,m ix x n x i m+ + = =L

2. O n m

3. n+m-1 , n

4. xn (1 + x)n+m-1

.

2 10 ( ) 3 :

1. 10 12

19 , 20, 1.4:

2. 10 12

3. 10 3

4. 3 10

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3 ,

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1. 2 6 .

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3. 5 7 .

4. 5 2 .

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21 , 20, 1.4:

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22 , 20, 1.4:

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3 10 15 ( ) 10 () . ,

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23 , 20, 1.4:

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410 20 , .

) ) ) ) .

24 , 20, 1.4: