Statement-1 : The number of ways of distributing 10 identical balls in 4 distinct boxes such that no

Question

Statement-1 : The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ${ }^{9} C_{3}$. Statement-2 : The number of ways of choosing any 3 places from 9 different places is ${ }^{9} C_{3}$.

Professor PC Thomas Classes · Answer

(c) : $x_{1}+x_{2}+x_{3}+x_{4}=10$ The number of positive integral solution is ${ }^{6+4-1} C_{4-1}={ }^{9} C_{3}$\ It is the same as the number of ways of choosing any 3 places from 9 different places.\