The answer is 4,960.
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The answer is 30C4 = 30*29*28*27/(4*3*2*1) = 27,405
There are 4845 ways to choose 4 people out of 20 20 choose 4 = 20! / (4!16!)
There are: 825/55 = 15 students per teacher
that depends on how many different characters you have to choose from. if the password was made of numbers only then you would have 1030 different combinations.
65 students