Mathematics - Permutation & Combination Question with Solution | TestHub

A group of 9 students, ${\mathrm{s}}_1,{\mathrm{s}}_2,\dots \dots ,{\mathrm{s}}_9$, is to be divided to from three teams $\mathrm{X},\mathrm{Y}$, and $\mathrm{Z}$ of sizes 2,3 , and 4 , respectively. Suppose that $s_1$ cannot be selected for the team $\mathrm{X}$, and ${\mathrm{s}}_2$ cannot be selected for the team Y. Then the number of ways to from such teams, is