
Concept explainers
(a) There are 10 chairs in a row and 8 people to be seated. In how many ways can this be done?
(b) There are 10 questions on a test and you are to do 8 of them. In how many ways can you choose them?
(c) In part (a) what is the probability that the first two chairs in the row are vacant?
(d) In part (b), what is the probability that you omit the first two problems in the test?
(e) Explain why the answer to parts (a) and (b) are different, but the answers to
(c) and (d) are the same.

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Mathematical Methods in the Physical Sciences
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