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UGC NET CSE | June 2013 | Part 2 | Question: 36

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A test contains 100 true/false questions. How many different ways can a student answer the question on the test, if the answer may be left blank also.

  1. $^{100}P_2$
  2. $^{100}C_2$
  3. $2^{100}$
  4. $3^{100}$
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1 Answer

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if there are one 1 question it can be answered in  3 ways T    F  or blank(-)  (i,e 3^1)

if there are one 2 questions it can be answered in 9 ways TT, TF ,FT ,FF, T-   F-   -F  -T   - -  (i,e 3^2)

 if there are one 100 questions it can be answered in 3^100 WAYS

HENCE ANS IS D

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