Unit one: Permutations, combinations and binomial theorem − −
= ( =
−
)(
−
) ........(
−
=
+
+
)
! ( − )!
− != != −
=
−
=
−
=
− − − −
! ! ( − )!
=
!
− =
=
= − +
+
=
−
+
=
−( + ) =
−( − ) =
=
(− )
+
=
+
+ ⋯+
−
+
−( + ) +( − ) = [
]
−( + ) −( − ) = [ −( ± ) = −
±
] ±
± ⋯ (± ) ( + )
= ( )
−
+ ⋯ + (− )
( + )
+
,
: ( )
+
,
,
+
.
1
Mr\Yassin Balja27-9-2016