Question

if ^nc8=^nc2 find the value of n​

Answer 1

Step-by-step explanation:

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

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