Thus, the minimum value of n is
11
.
E.g.
:
C(10,4) =
10
!
4
!
x 6
!
=
10x9x8x7x(6
!
)
4
!
x 6
!
=
10x9x8x7
4x3x2
=
10x9x7
3
= 210
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