In: Statistics and Probability
Six numbered tokens are distributed to 8 different people.
a) How many ways can the tokens be distributed? How many ways can the tokens be distributed if each token must be given to a different person?
b) How many ways can the tokens be distributed such that person A receives at least 2 tokens?
c) How many ways can the tokens be distributed such that 3 are given to one person, and 2 to another person?
d) How many ways can 2 tokens be given to each of 3 different people?
e) If the numbers on the tokens are removed such that the tokens are indistinguishable, how many ways can they be distributed?