if C(n,8)=C(n,6) find C(n,2)
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Answer:
We have,
C(2n,3):C(n,2)=12:1
⇒
n
C
2
2n
C
3
=
1
12
⇒
2n
C
3
=12⋅
n
C
2
⇒
3!
2n(2n−1)(2n−2)
=12⋅
2!
n(n−1)
⇒
6
4(2n−1)
=
2
12
⇒2n−1=9
⇒n=5
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