Each box of a certain brand of breakfast cereal contains a small charm, with k distinct charms forming a set. Assuming the chance of drawing any particular charm is equal to that of drawing any other...

Each box of a certain brand of breakfast cereal contains a small charm, with k distinct charms forming a set. Assuming the chance of drawing any particular charm is equal to that of drawing any other charm, show that the probability of finding at lease one complete set of charms in a random purchase of N> or equal to (picture)

Extracted text: COMBINATORICS: PROBABILITY ON FINITE SAMPLE SPACES 1-(G)()'OG)-O()" N N k k k 2 k k 3 k 2 k 3 k N k +..+(1)-1 k-1