Question Number 142820 by metamorfose last updated on 05/Jun/21
$${find}\:{k}\:{if}\::\:{C}_{{n}} ^{{k}} ={n}+\mathrm{1} \\ $$
Commented by mr W last updated on 06/Jun/21
$${k}={n}+\mathrm{1} \\ $$$${because}\:{C}_{{n}} ^{{n}+\mathrm{1}} ={C}_{\mathrm{1}} ^{{n}+\mathrm{1}} ={n}+\mathrm{1} \\ $$