Question

The number of ways six distinct balls be distributed into 3 distinct urns. If each urn contain at least one ball are ____

Comments

check the last comment i tried distinct objects and distinct bins problem with restrictions
https://gateoverflow.in/191081/arrangement

---

3⁶ -(3C2 * 2⁶  - 3C1 * 1⁶ )  :- 

(3C2 * 2⁶  - 3C1 * 1⁶ ):- here we are removing the case when balls are distributed only between two persone(3C2 * 2⁶ )  ...means balls are distributed either AB,BC or CA now for all these cases ...there is a chance that balls are given two only one (for AB only A or ONLY B) ...for all A,B,C this would happen two times there for we would add this one more time.....(3C1 * 1⁶)

---

@Hemant Parihar

why we are not use here  (n-1+r  c r )

many time im confusion in between 

acc to me first we can 1 ball to every one so renaming 6-3=3 ball  then we can use ball and box method any wrong im not visualize 

@Bikram