Preheat the oven to 350 F.
In a medium bowl, cream together the butter, brown sugar and white sugar. Mix in the eggs and vanilla. Combine the flour, baking soda, baking powder, and salt; add to butter mixture, and stir until just blended. With a large wooden spoon, stir in the white, milk, and semisweet chocolate chips. Stir in the walnuts, pecans, and almonds. Drop dough by heaping spoonfuls onto ungreased cookie sheets. Bake for 10 to 12 minutes in the preheated oven. Allow cookies to cool on the baking sheet before transferring to wire racks to cool completely.
Yield: 4 dozen cookies.