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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?

Updated: 9/23/2023

Wiki User

10y ago

Best Answer

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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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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