Question 14
We want to remove some numbers from the following set:
$$\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}$$
such that the product of the remaining numbers is a multiple of each of the numbers from $1,2,3,\ldots,14,15$. At most how many numbers can we remove?
$$\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}$$
such that the product of the remaining numbers is a multiple of each of the numbers from $1,2,3,\ldots,14,15$. At most how many numbers can we remove?