There are three kinds of cake gift boxes, each with eight. How many kinds are there in at least one gift box?

There are six composition methods of 3.

Because eight cakes are selected to form a gift box, and the cakes can be the same, which is equivalent to eight positions, and each position can choose one of the eight cakes. There can be three kinds of first place, three kinds of second place and three kinds of sixth place in turn, and then the multiplication of six places is the total combination method.

Combination is a mathematical term. Generally speaking, taking m(m≤n) elements from n different elements as a group is called taking out the combination of m elements from n different elements. We call the problem of finding the combination number the combination problem.

Combination with repetition is a special combination. You can repeatedly select m elements from n different elements. Synthesizing a group of m elements called n elements regardless of their order is a repeatable combination. Two repeated combinations are the same if and only if the elements are the same and the same elements are taken the same times. Different combinations of m elements can be repeatedly selected from n different elements.