How many ways can we put $5$ red balls, $4$ green balls and $3$ white balls into $12$ slots?
Would it be $12!$ or $\dfrac{12!}{5!4!3!}$? I'm confused here.
How many ways can we put $5$ red balls, $4$ green balls and $3$ white balls into $12$ slots?
Would it be $12!$ or $\dfrac{12!}{5!4!3!}$? I'm confused here.
Since (red/green/white) balls are indistinguishable from other (red/green/white) balls, the answer is $\dfrac{12!}{5!4!3!}$, not $12!$.