Prob in permutation n combination

Hi Ayisha ,

12 students to be equally divided into 3 groups i.e. 4 students into each group

For 1^st group you have to select 4 students form 12 students i.e.  ¹²C_4.

For 2^nd group you have to select 4 students from remaining 8 students i.e. ⁸C_4.

For 3^rd group you have to select 4 students from remaining 4 students i.e. ⁴C₄.

Therefore total no. of ways = ¹²C_4. ×⁸C_4. ×⁴C_4. =34650

But in the module the answer is given as 5775 i.e 34650 divided by 6. My teacher has told this thing. I also find no reason to divide it by 6. So the answer is 34650. In case this question comes in exam mark 5775 only.

For any confusion,ask further .