Question

if nc9 = nc8 ,find the value of n

Answer 1

Here is your answer...
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Answer 2

Answer:

17

Step-by-step explanation:

Formula:

$_nC_r=\frac{n!}{r!*(n-r)!}$

So, $_nC_9=\frac{n!}{9!*(n-9)!}$

$_nC_8=\frac{n!}{8!*(n-8)!}$

$\frac{n!}{9!*(n-9)!}=\frac{n!}{8!*(n-8)!}$

$9!*(n-9)!=8!*(n-8)!$

$9*(n-9)!=(n-8)!$

$9*(n-9)!=(n-8)*(n-9)!$

$9=(n-8)$

$n=17$

Thus the value of n is 17