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Thyangboche
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Posted on 06-07-07 7:35
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There are 5 subjects to be taught on 1 working day in a school where the working day comprises 6 periods.Tell the no: of ways in which this can be done such that each subject gets atleast one period .
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tregor
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Posted on 06-10-07 11:47
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propensity
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Posted on 06-10-07 12:43
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Thyangboche
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Posted on 06-10-07 8:09
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kunp
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Posted on 06-10-07 8:27
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Thyangboche
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Posted on 06-10-07 8:51
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Slackdemic
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Posted on 06-10-07 10:16
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Slackdemic
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Posted on 06-10-07 10:17
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Oh, no! That's not right..I overlooked the problem.
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gemmi_auj
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Posted on 06-10-07 10:19
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Maybe it's 30 for a single day.
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Delta
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Posted on 06-10-07 10:20
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Thyangboche
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Posted on 06-10-07 10:26
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So far all the answer are incorrect. But slackdemic, you are right for one reason. But thats not the exact answer.
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thapap
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Posted on 06-10-07 10:34
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Slackdemic
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Posted on 06-10-07 10:40
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Thyangboche
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Posted on 06-10-07 10:57
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One way u were thinking was: we assign 5 periods to the 5 subjects in 6P5 ways : 720 ways the remaining period can get ne one subject in 5 ways . so total no. of ways = 720 * 5 = 3600 ways Second way was: Each of 5 subjects has to be given atleast 1 period , so no: of ways 5 subjects fit to 5 peiods is 5P5 =120 . Then the remanining period can be filled in 5 ways ( considering that the ramining period has to have 1 subject and is not free) . That makes it 120 *5 =600 . This whole thing can be done in 6 ways , i.e either of the six periods could be the one which we are calling the remaining period. Hence 6*600 =3600 . Had it been possible that the remaining period is vacant , then the answer would have been 120*6*6 =4320 Slackdemic: the 6 periods where 2 r idenctical can be taught in 6!/2! = 360 ways there r 5 subjects and any of them can have 2 periods, so the ans is 360*5 = 1800 coz your method is not taking into account dat : suppose subject maths has 2 periods in a day at 1st and 2nd periods........ then ur method counts this twice[ie 1st & 2nd period and 2nd & 1st period as separate]........coz u r treating maths at 1st and 2nd perids as different subjects.........which is wrong ......so ur answer shud be divided by 2........ This might be ur solution.
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