only answer the one first question.
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We know that if
n
C
p
=
n
C
q
then one of the following condition need to be satisfied.
i)p=q
ii)n=p+q
From the problem,
n
C
12
=
n
C
5
∴12
=5
So, the condition (ii) must be satisfied n=12+15=17
The value of n is 17
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