Combinatorics Question| Discrete Maths

Question

Suppose there are 4 cricket matches to be played in 3 grounds. The number of ways the matches can be assigned to the grounds so that each ground gets at least one match is

Comments

is this the answer? i posted my solution.I want to know if its actually correct?

---

then it should be as a comment or including in the question.

---

so is the solution correct , can you please check it?

Answer 1

Yes you are right beacause

there should each ground gets at least one match is.. so we can’t give any ground 0 team

so only way is 2 1 1 =4c2*2c1*1c1=12

and number of ways we can rotate 2 1 1=3!/2!=3

12*3=36 answer