csat-suneung 2011 Q18

csat-suneung · South-Korea · csat__math-humanities 3 marks Permutations & Arrangements Factorial and Combinatorial Expression Simplification

Find the natural number $n$ that satisfies the equation $2 \times {}_{n}\mathrm{C}_{3} = 3 \times {}_{n}\mathrm{P}_{2}$. [3 points]

Find the natural number $n$ that satisfies the equation $2 \times {}_{n}\mathrm{C}_{3} = 3 \times {}_{n}\mathrm{P}_{2}$. [3 points]