Three different awards are distributed among 20 students. a. [2] In how many ways can the awards be distributed if no student receives more than one award? b. [2] In how many ways can the awards be distributed if there is no limit on the number of awards won by one student? c. [1] If there is no limit on the number of awards won by one student, what is the probability that Irene receives all the awards? Management: Permutation: Assignment d. [1] If there is no limit on the number of awards won by one student, what is the probability that ONE student receives all the awards? e. [3] If there is no limit on the number of awards won by one student, what is the probability that AT LEAST one student receives more than one award?