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20 persons are arranged along a round circle. If 4 persons are selected at random, find the probability that (a) all the selected 4 are not consecutive (b) no two of the selected 4 are consecutive (c) a specified person must always be selected and no two of the selected 4 are consecutive. (d) exactly two persons of the selected 4 are consecutive. |
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Answer» (b) `(2275)/(.^(20)C_(4))` (c) `(.^(15)C_(3))/(.^(20)C_(4))` (d) `(2100)/(.^(20)C_(4))` |
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