For some \(\mathrm{n}\neq 10,\) let the coefficients of the \({5}^{\mathrm{th}},{6}^{\mathrm{th}}\) and \({7}^{\text{th …

For some \(\mathrm{n}\neq 10,\) let the coefficients of the \({5}^{\mathrm{th}},{6}^{\mathrm{th}}\) and \({7}^{\text{th }}\) terms in the binomial expansion of \((1+x{)}^{n+4}\) be in A.P. Then the largest coefficient in the expansion of \((1+x{)}^{n+4}\) is:

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