In your stats class, the teacher has three drawing for prizes (a, b , c). There are 15 students in class

a. if same person can win more than once, in how many different ways

can you choose the 3 names from the 15 students.

I am assuming this is WITH replacement...

without replacement you would use 15!/ (15-3)! * (3!) or 455

how do you factor back in the names already picked.. or am I way off

track?

b. If the selections above are random, what is the probability that the same

student wins all 3 prizes..

is this right (1/15)(1/15)(1/15) = 1/3375 ??

Thanks for your time.. M