Say I have $15$ apples, $20$ bananas, $30$ oranges, and $40$ peaches, and I want to create baskets with at most one of each. How many baskets can have all $4$? I know it's an application of pigeon hole principle, but I am confused about how to go about it. Any help would be much appreciated!
2026-03-25 11:53:17.1774439597
Pigeon Hole Principle - How many fruit baskets?
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You have $15, 20,30,$ and $40$ choices for apple, banana, orange, and peach respectively. By multiplication principle, the number of such baskets is $15\times 20\times 30 \times 40 = 360,000$ .