SOLUTION: An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
Suppose the exam instructions specify that either both questions 1 and 2 a
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-> SOLUTION: An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
Suppose the exam instructions specify that either both questions 1 and 2 a
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Question 1062946: An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
Suppose the exam instructions specify that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! For the first calculation, you have 8 slots to fill with the remaining 12 questions since 1 and 2 are already chosen,
For the second calculation, you have 10 slots to fill with 12 remaining questions since 1 and 2 are not allowed.
There is no overall or double counted since the groups are mutually exclusive.
So then,
