Mathematics · 2021
JEE Main · 24 February 2021, Shift 2 · Q85
The students S_1, S_2, …., S_10 are to be divided into 3 groups A, B and C such that each group has at least one student and the group C has at most…
The students $\displaystyle \mathrm{S}_1, \mathrm{~S}_2, \ldots ., \mathrm{S}_{10}$ are to be divided into $\displaystyle 3$ groups A, B and C such that each group has at least one student and the group $\displaystyle C$ has at most $\displaystyle 3$ students. Then the total number of possibilities of forming such groups is \_\_\_\_.
Official answer
31650
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.