Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends, if every friend gets at least one sticker.

eramsby1O1O May 26, 2024

#1**0 **

1. Give one sticker to each friend, leaving 10 stickers to distribute.

2. Imagine the remaining 10 stickers as stars and 1 separator bar.

3. You have a total of 10 stars and 1 bar to divide the stickers.

4. Use the formula "n + k - 1 choose k - 1" where n is the number of stars and k is the number of bars.

5. Plug in n = 10 and k = 2 into the formula.

6. The number of ways to distribute the stickers among friends is 11.

Therefore, Magnus can give out the 12 identical stickers to his 2 friends in 11 different ways, ensuring each friend receives at least one sticker.

Hi69420 May 26, 2024