The number of ways of awaring 9 scholarships among three students so that each may have 3 scholarships is

Number of ways of awarding 9 scholar ships among 3 students so that each way have 3 scholar ships $=\frac{9!}{3! 3! 3!}$

 $\begin{array}{rcl} & =& \frac{9\times 8\times 7\times 6\times 5\times 4\times 3!}{3! \times 3! \times 3!}\\ & =& \frac{9\times 8\times 7\times 5\times 4}{3!}\\ & =& 3\times 4\times 7\times 5\times 4\\ & =& 1680 \end{array}$