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Thread: how many learners are there in the class?

  1. #1
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    how many learners are there in the class?

    A class survey found that 25 learners watched TV on Monday, 20 on
    Tuesday and 16 on Wednesday. Of those who watched TV on only one of
    the days, 11 chose Monday, 7 chose Tuesday and 6 chose Wednesday. If
    each learner watched on at least one of the days and 7 watched on all 3
    days, how many learners are there in the class?


  2. #2
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    Smile Re: how many learners are there in the class?

    Is it the answer is 47 ?

    ------------------
    suresh


  3. #3
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    Re: how many learners are there in the class?

    NO. 47 is a wrong answer.


  4. #4
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    Smile Re: how many learners are there in the class?

    Totally 39 learners in this class...

    -------------------
    suresh


  5. #5
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    Re: how many learners are there in the class?

    I would have gone for 47..
    11+7+ 6 one dayers = 24
    7 +6 +3 Two dayers = 16
    7 Three dayers

    Adding up to 47 total? Please explain your other answers..


  6. #6
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    Re: how many learners are there in the class?

    The answer is 39.

    Only Mon - 11
    Only Tue - 7
    Only Wed - 6
    Mon & Tue - 5
    Tue & Wed - 1
    Wed & Mon - 2
    All 3 days - 7


  7. #7
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    Re: how many learners are there in the class?

    There were 39 learners.

    [Well the method I used was quite crude. Didn't get into permutation and combination theorems. i might as well be wrong.]

    We have 24 learners who watched TV on only one day.
    We have 7 lerners who watched TV on all three days.
    So there are atleast 31 learners.
    There are more in fact,
    On monday there were, 25-7-11=7 learners
    Now, all these 7 are not included before.
    Hence learner count should atleast be 38.
    On Tuesday ,there are 20-7-7=6 learners.
    Now let us assume 5 learners
    watched on monday too. Learner count(LC)= 39
    On wednesday there are 16-7-6=3 learners.
    Out of these two watched on manday too
    and the other on tues day too. So no
    further additions to LC=39.

    Hence there must be 39 learners.


  8. #8
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    Re: how many learners are there in the class?

    Yes. The right answer is 39.


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