GMAT Question of the Day : Permutation and Combination

In an examination there are three multiple choice questions and each questions has 4 choices. Number of sequences in which students can fail to get all answers correct ?

A) 11
B) 15
C) 63
D) 80
E) 83

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Take GMAT Team tagged this post with: GMAT Permutation and Combination, GMAT Probability, GMAT Quantitative Descrete Questions, GMAT Question of the Day Read 1234 articles by Take GMAT Team

1. Krishna Mohan says:

   July 3, 2006 at 7:04 pm

   C.
2. Anusha says:

   July 7, 2006 at 9:22 am

   C.
3. bindidoshi says:

   July 8, 2006 at 2:34 pm

   Please explain how did u arrive at the ans??
4. Yeganeh says:

   July 8, 2006 at 8:59 pm

   Since there are three questions, each can be answered in 4 ways so total sequence of answering these questions will be:
   4x4x4=64
   But, there is just one sequence that a student can answer all the questions correctly. So we have to take out this sequence from total:
   64-1=63
5. bindidoshi says:

   July 10, 2006 at 5:03 pm

   Thanks Yeganeh!!!
6. Take GMAT Team says:

   July 10, 2006 at 5:06 pm

   Correct answer is C.

   Special thanks to Yeganeh for explained answer.
7. V Pat says:

   October 17, 2006 at 8:44 am

   C) 63
8. AP says:

   May 14, 2007 at 9:21 pm

   c
9. Mallik says:

   January 12, 2009 at 10:32 am

   c
10. syed says:

    January 12, 2009 at 12:05 pm

    c
11. Arun says:

    January 14, 2009 at 7:37 pm

    Yes c is correct…

    but i would like to say 1 thing here
    i read the quest correctly./but while doing it
    i my mind…. i made a silly mistake in which i
    sumhow took the no. of quest as 4…tht ws becoz of
    mindd goin faster..
    i took no of options as the no of quest…ie accdng to me no of quest became 4 instwad of 3..

    so i miscalculated the ans sa 3^4-1=80
    though it is a silly mistake..but could hv costed me badly…

    so guys advice is to do the calc always in paper
12. Sapan says:

    January 16, 2009 at 6:39 pm

    C
13. A Chakraverty says:

    March 3, 2009 at 10:32 am

    Ans C
14. Binita says:

    May 18, 2009 at 2:32 pm

    Thanks yeganeh.
15. Eman says:

    June 8, 2009 at 9:57 pm

    c
16. Manvir says:

    June 11, 2009 at 11:18 am

    Yes Arun I did the same mistake
    But correct answer is 63