Question

Find the number of ways in which $12$ students can be distributed among $3$ groups?

• A. $6001$
• B. $3245$
• C. $5775$
• D. none of these

Answer 1

Answer: (C)

$5775$

$12$ Student and a group of $3$ (Equally divided)

$\Rightarrow$ Number of ways of grouping

$=\frac{{}^{12}{C}_4{+}^8{C}_4{+}^4{C}_4}{6}=\frac{495+70+1}{6}=5775$