If in the expansion of \( (1+x)^{n} \), the coefficients of \( p \) th and \( q \) th terms are ...

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If in the expansion of \( (1+x)^{n} \), the coefficients of \( p \) th and \( q \) th terms are equal, prove that \( p+q=n+2 \), where \( p \neq q \).
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