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# In an Examination ,a student has to Choose a optional

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Manager
Joined: 25 Nov 2006
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In an Examination ,a student has to Choose a optional [#permalink]  10 Dec 2006, 15:28
In an Examination ,a student has to Choose a optional subject among 4 subjects.The number of questions he has per each paper is 100,with 4 options each.What is the number of ways he answers at least one Question is ?
Senior Manager
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The total number of possible choices is 4^100

I'm not quite sure what the rest of the question is asking?
Manager
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In an Examination ,a student has to Choose a optional subject among 4 subjects.The number of questions he has per each paper is 100,with 4 options each.What is the number of ways he answers at least one Question is ?
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answer = 4C1 * (100P1.4^1 + 100P2.(4^2)+100P3.(4^3).....+100P100.4^100 ) ??

if the order of the questions is fixed like in multiple choice, then replace P(permutations) by C(combinations)..this Q sounds more like P.

what is the OA ?
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