Assuming that the 26 letters in the English language alphabet comprise a population

1.Briefly explain how a simple random sample of size n = 5 can be obtained that would have no mode.

2.Showing your work, find the total number of simple random samples of size n = 5 possible, none having any mode.

3.Showing your work, what is the probability of drawing a simple random sample of size n = 5 containing the five vowels (A, E, I, O, U) at first attempt, from a bag containing 26 ping pong balls, each uniquely labeled one of the 26 letters?