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Standard XI
Mathematics
NCERT
Question
If
n
C
8
=
n
C
2
, find
n
C
2
.
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Solution
Verified by Toppr
Given,
n
C
8
=
n
C
2
n
C
2
=
n
!
2
!
(
n
−
2
)
!
n
C
n
−
2
=
(
n
−
2
)
!
2
!
(
n
−
(
n
−
2
)
)
!
=
n
!
2
!
(
n
−
2
)
!
⟹
n
C
8
=
n
C
2
=
n
C
n
−
2
⇒
n
−
2
=
8
,
⇒
n
=
10
∴
n
C
2
=
10
C
2
=
10
!
2
!
(
10
−
2
)
!
=
10
!
2
!
8
!
=
10
×
9
×
8
!
2
×
1
×
8
!
=
45
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