A L g e b r a belgilar va belgilashlar


K O M B I N A T O R I K A     E L Е M Е N T L A R I


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K O M B I N A T O R I K A     E L Е M Е N T L A R I

1.

m

 ta elеmеntdan

n

  tadan barcha o`rinlashtirishlar soni:

!

(

1)(



2)...(

1)

(



)!

n

m

m

A

m m

m

m n

m n

=

-



-

- + =


-

, bu еrda

! 1 2 3 ...

m

m

= × × × ×

.

2.

n



  ta elеmеntdan  barcha  o`rin almashtirishlar soni:

! 1 2 3 ...



n

P

n

n

=

= × × × ×



.

3.

m

  ta elеmеntdan

n

  tadan barcha gruppalashlar soni:

0

!

,      1



!(

)!

n



n

m

m

m

m

m

n

A

m

С

C

C

P

n m n

=

=



=

=

-



.

4. N`yuton binomi:

(

)

0



1

1

2



2

2

...



...

n

n

n

n

k

n k

k

n

n

n

n

n

n

n

a

x

C a

C a

x

C a

x

C a

x

C x

-

-



-

+

=



+

+

+ +



+ +

Click here to buy

A

B

B

Y

Y

PD

F Transfo

rm

er

2

.0

w

w

w .A

B B Y Y.

c o

m

Click here to buy

A

B

B

Y

Y

PD

F Transfo

rm

er

2

.0

w

w

w .A

B B Y Y.

c o

m

70

Q Y S H I M CH A     M A` L U M O T L A R

1.  Ketma-ket kelgan sonlar ko`paytmasi

(

)

1 2 3



 

  !


n

n

× × × ××× × =

 nechta

     nol bilan   tugashi:



2

3

...  .



5

5

5



n

n

n

x

é ù é ù é ù

=

+

+



+

ê ú ê ú ê ú

ë û ë û ë û

2.

a



-

 soat va minut strelkalari orasidagi burchak,

b

-

t



 vaqtdan

     keyin ular  orasidagi burchak bo`lsa,

(

)

0



2

360


(

)

11



t

a b


=

-

+



 bo`ladi.

3.

2



0, 3010,     3

0, 4771,


lg

lg

»

»



2

3

300



8

3

10



2

0, 4771 2

3 0, 3010

3, 3801.


lg

lg

lg

lg

lg

+

=



+

+

»



+ + ×

=

4. Funksiyaning Teylor formulasi: Agar



( )

y

f x

=

 funksiya



[ ]

,

a b

kesmada berilgan bo`lib,

( )


0

,

x



a b

Î

nuqtada



0

( )


( ),  (

1, 2, ...,  1)



j

f

x

j

n

=

+



hosilalar mavjud bo`lsa, u holda

2

0



0

0

0



0

(

)



(

)

( )



(

)

(



)

(

)



...

1!

2!



f

x

f

x

f x

f x

x

x

x

x

¢

¢¢



=

+

-



+

-

+ +



(

)

0



0

(

)



(

)

( ),



!

n

n

n

f

x

x

x

R

x

n

+

-



+

 bu erda


(

) (


)

0

0



0

(

1)



1

(

)



( )

,

 



  0

1

(



1)!

n

n

n

f

x

x

x

R

x

x

x

n

q

q



+

+

+



-

=

-



< <

-

+



Teylor  formulasining  qoldiq  hadi.

Click here to buy

A

B

B

Y

Y

PD

F Transfo

rm

er

2

.0

w

w

w .A

B B Y Y.

c o

m

Click here to buy

A

B

B

Y

Y

PD

F Transfo

rm

er

2

.0

w

w

w .A

B B Y Y.

c o

m

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