If nc10=nc3 , find nc3
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2
Answer:
Given,
n
C
8
=
n
C
2
n
C
2
=
2!(n−2)!
n!
n
C
n−2
=
2!(n−(n−2))!
(n−2)!
=
2!(n−2)!
n!
⟹
n
C
8
=
n
C
2
=
n
C
n−2
⇒n−2=8,⇒n=10
∴
n
C
2
=
10
C
2
=
2!(10−2)!
10!
=
2!8!
10!
=
2×1×8!
10×9×8!
=45
Step-by-step explanation:
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