1. When we kindly distributed 43 cupcakes to 12 baby mice, every baby mouse was guaranteed a single cupcake at least. What if a beneficent person of some sort guaranteed at least two cupcakes per baby mouse-how many ways would there be to feed the cupcakes to the baby mice?
2. Let us say that two words are equivalent if they are anagrams of each other. How many six-letter words are equivalent to BLEFLA? (Note that the words do not have to be sensical.) Is this an equivalence relation on the set of all words?