We generate a bootstrap dataset x ∗ 1 , x ∗ 2 ,...,x ∗ 6 from the empirical distribution function of the dataset XXXXXXXXXX, i.e., we draw (with replacement) six values from these numbers with equal...

We generate a bootstrap dataset x^∗
₁, x^∗
₂,...,x^∗

₆
from the empirical distribution function of the dataset

2 1 1 4 6 3,

i.e., we draw (with replacement) six values from these numbers with equal probability 1/6. How many different bootstrap datasets are possible? Are they all equally likely to occur?