(a) For the situation of Example 1.2.20, enumerate the ordered samples that make up the unordered samples {4,4,12,12} and {2,9,9,12}.
(b) Enumerate the ordered samples that make up the unordered samples {4,4,12,12} and {2,9,9,12}.€ƒ
(c) Suppose that we had a collection of six numbers, {1,2,7,8,14,20}. What is the probability of drawing, with replacement, the unordered sample {2, 7,7, 8,14,14}?
(d) Verify that an unordered sample of size k, from m different numbers repeated
k1,k2,..., km times, has

ordered components, where k1 + k2 + . . . + km = k.
(e) Use the result of the previous part to establish the identity

Transcribed Image Text:

k! kilk!km kc! km- 1