In Example 1.4 we showed that a truefalse test consisting of 20 questions can be marked in

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In Example 1.4 we showed that a true–false test consisting of 20 questions can be marked in 1,048,576 different ways. In how many ways can each question be marked true or false so that
(a) 7 are right and 13 are wrong;
(b) 10 are right and 10 are wrong;
(c) At least 17 are right?
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