Yassin balja algebra

Page 1

Unit one: Permutations, combinations and binomial theorem − −

= ( =

)(

) ........(

=

+

+

)

! ( − )!

− != != −

=

=

=

− − − −

! ! ( − )!

=

!

− =

=

= − +

+

=

+

=

−( + ) =

−( − ) =

=

(− )

+

=

+

+ ⋯+

+

−( + ) +( − ) = [

]

−( + ) −( − ) = [ −( ± ) = −

±

] ±

± ⋯ (± ) ( + )

= ( )

+ ⋯ + (− )

( + )

+

,

: ( )

+

,

,

+

.

1

Mr\Yassin Balja27-9-2016


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