How many sets of 7 questions can be chosen from a file of 25 questions?

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22-02-2018
Mathematics

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How many sets of 7 questions can be chosen from a file of 25 questions?

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mathmate mathmate · Answer 1 · 2018-02-22T16:39:38+01:00

mathmate mathmate

22-02-2018

If all 25 questions are different,

When order of selection counts:
P(25,7)
=25!/(25-7)!
=15511210043330985984000000/6402373705728000
=2422728000

When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
=480700

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