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A professor writes 40 discrete mathematics true/false questions. Of the statements in these questions, 17 are true. If the questions can be positioned in any order, how many different answer keys are possible?
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A professor writes 40 discrete mathematics true/false questions. Of the statements in these questions, 17 are true. If the questions can be positioned in any order, how many different answer keys are possible?

User Jordi Castilla
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Number of different answer keys possible is 40!/(17! * 23!) = 88,732,378,800
User ArthurCPPCLI
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