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How many ways can a student select 5 questions from an exam containing twelve questions if he must select the last question?
Wiki User
∙ 10y ago
If he must include the last question, then his choices really boil down to
how many ways he can select 4 more from the remaining 11.
The number of ways he can select 4 from 11 is (11 x 10 x 9 x 8) = 7,920 ways .
But each group of 4 can be selected in 24 different ways.
So he can only wind up with 7920/24 = 330 different groups of questions.
Wiki User
∙ 10y ago
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How many ways can a student select 7 questions from an exam containing 11 questions if he must answer the last question?
If he must answer the last question, he effectively needs to select 6 from 10. This can be done in 10C6 = 10*9*8*7/(4*3*2*1) = 210 ways.
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How many ways can a student select 7 questions from an exam containing 11 questions if he must answer the last question?
If he must answer the last question, he effectively needs to select 6 from 10. This can be done in 10C6 = 10*9*8*7/(4*3*2*1) = 210 ways.
How many ways can a student select five questions from an exam containing 12 questions if he must answer the last question?
330 ways. Once we know he must answer the last question, the issue is really one of choosing 4 questions from the first 11 questions on the exam. There are 11 ways to choose the first question, 10 ways to choose the second, 9 ways to choose the third, and 8 ways to choose the fourth, so that would be 11*10*9*8... but the order of the questions doesn't matter. So we divide by the number of ways to rearrange the 4 questions (4*3*2*1=24), to get 330.
A student has an exam with 30 questions. They are to select 10 of these questions to answer. In how many ways can they complete this exam?
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In the UK it is mandatory, so the question of selection does not arise.
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