ist the elements of the set. HINT [See Example 1.] The set of outcomes of tossing three distinguish (a) distinguishable coins O {H, T} {(H, H, H), (T, T, T)} O {(H, T), (H, T), (H, T)} O {(H, H, H), (H, H, T), (H, T, T), (T, T, T)} O {(H, H, H), (H, H, T), (H, T, H), (H, T, T), ( (b) indistinguishable coins

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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List the elements of the set. HINT [See Example 1.]
The set of outcomes of tossing three distinguishable coins or three indistinguishable coins.
(a) distinguishable coins
O {H, T}
O {(H, H, H), (T, T, T)}
{(H, T), (H, T), (H, T)}
O {(H, H, H), (H, H, T),
O {(H, H, H), (H, H, T),
(b) indistinguishable coins
O {H, T}
(H, T, T), (T, T, T)}
(H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)}
{(H, H, H), (T, T, T)}
O {(H, T), (H, T), (H, T)}
{(H, H, H), (H, H, T), (H, T, T), (T, T, T)}
O {(H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)}
Transcribed Image Text:List the elements of the set. HINT [See Example 1.] The set of outcomes of tossing three distinguishable coins or three indistinguishable coins. (a) distinguishable coins O {H, T} O {(H, H, H), (T, T, T)} {(H, T), (H, T), (H, T)} O {(H, H, H), (H, H, T), O {(H, H, H), (H, H, T), (b) indistinguishable coins O {H, T} (H, T, T), (T, T, T)} (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)} {(H, H, H), (T, T, T)} O {(H, T), (H, T), (H, T)} {(H, H, H), (H, H, T), (H, T, T), (T, T, T)} O {(H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)}
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