There are 69 basket of flowers ( non-identical ) that consists of each 20 flowers. The flowers are marked to identify in which basket does the flower belong. Suddenly, the basket fell down and all the flowers are scaterred. To fix it, the flowers are put back into the 69 baskets again with 1 basket filled with 20 flowers each like the first time. Each flowers has the same probability of being placed upon every baskets.

Determine the E[X] of how many baskets has at least 2 flowers that comes from the original basket before it fell down.

Also determine the E[X] of how many kinds of flowers with different marks in each basket. ( flowers being put on the non-original basket )