I am having trouble understanding permutations. I have a better time understanding them visually.
Say I have total of $5$ fruit and two baskets. Basket A can only hold $3$ fruit and the Basket B can only hold $2$ fruit. How do I solve this permutation?
Is the idea that with Basket A, there are 5 options and with Basket B, there are 2 remaining options, so is the way to get the permutations $5\cdot2=10$?
After looking over other problems, I think the answer is $5 \choose 3$, but I have just memorized this and I am really trying to understand why it is the answer.