Generalized Permuations and Combinations

Repetitions, Indistinguishable Objects, and Objects in Boxes

Objects in Boxes

E X A M P L E S

Example

How many ways are there to deal hands of 7 cards to each of five players from a standard deck of 52 cards? Solution: Similar to the previous example we have 52 distinguishable objects, so n = 52. Additionally, k = 6 (5 players + the undealt stack). Using the theorem as a guide, we determine the following equation: = 52! 7!7!7!7!17! = 7.0 x 1034