Binomiat Coeficients
factorial No tation:
The product of fist n natel
numbers is demoted by n! or LB
ahd it is read as
factoyial n.n,
i.e. nl nln-) (1- ).
3.2t.
Wence n is a otural He.
+Some important results:
2) H!: H(n-)!
) (2n)!: 2"H (1.3. 5.1... Rr
) fac toria ls
aye not fnegatie integee
defined.
5)The factorial n is formaly
H
M
defined by n!i I0 k, for,
all
Factorial of Properfractions
are Hot de Pined
, vésults :
+S,e important
(n-r)!r!
s.then
CH-)
H-Y+!
Cn-r)
, + C, + C, +....i+
h-1
.Hte: Amother nota tion of G
C is Clng)
Challonges
Go40 840
3! 6
H6 be cause
: 120,
!:20(n-3)!
Ch-) (H-) Cn)|:ho x 43
factorial No tation:
The product of fist n natel
numbers is demoted by n! or LB
ahd it is read as
factoyial n.n,
i.e. nl nln-) (1- ).
3.2t.
Wence n is a otural He.
+Some important results:
2) H!: H(n-)!
) (2n)!: 2"H (1.3. 5.1... Rr
) fac toria ls
aye not fnegatie integee
defined.
5)The factorial n is formaly
H
M
defined by n!i I0 k, for,
all
Factorial of Properfractions
are Hot de Pined
, vésults :
+S,e important
(n-r)!r!
s.then
CH-)
H-Y+!
Cn-r)
, + C, + C, +....i+
h-1
.Hte: Amother nota tion of G
C is Clng)
Challonges
Go40 840
3! 6
H6 be cause
: 120,
!:20(n-3)!
Ch-) (H-) Cn)|:ho x 43
