if there are Six periods in each working day of a school, In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?

• we have 5 sub and 6 periods so their arrangement is 6P5 and now we have 1 period which we can fill with any of the 5 subjects so 5C1
  6P5*5C1=3600
• 11 years agoHelpfull: Yes(70) No(11)
• 5!*5*6=3600 ans
  5 period full by=5!
  remaining 1 period filled by=5
  and this process occur =6 times
• 11 years agoHelpfull: Yes(30) No(9)
• Let us assume that we have 5 subjects named: M,E,H,P,C. Now arranging these so that each subject is allowed at least one period. M E H P C these five are arranged in 5! ways i.e. 120. NOW each time we have to arrange these 120 combination with each subject:-> - - - - - M,- - - - - E,- - - - - H,- - - - - P,- - - - - P, - - - - - C.These - blank places have 120 combination i.e. 1st with M, 2nd with M.........120th with M, Similarly these arrangements with E,H,P,C. So total 120+120+120+120+120 = 600.
• 11 years agoHelpfull: Yes(8) No(22)
• THERE are 5 subjects we can arrange them by 6!/2!=1800
  because 2 subjects are same at each day
• 11 years agoHelpfull: Yes(8) No(6)
• six period can be arrange for 5 subject is P(6,5)
  p(6,5)=720
  remaning 1 period can be arrange using 5 subject is 5 ways
  hence total number of way is 720*5=3600
• 11 years agoHelpfull: Yes(5) No(3)
• in a day 600 arrangements are possible
  as 1st period = 5 ways,2nd= 5 ways, 3rd= 4 ways, 4th= 3 ways, 5th= 2 ways, 6th= 1 way,.....now 5*5*4*3*2*1= 600
• 11 years agoHelpfull: Yes(5) No(5)
• 6P5*5C1=3600
• 11 years agoHelpfull: Yes(3) No(6)
• Which answer is true
  ?????
• 11 years agoHelpfull: Yes(2) No(2)
• 5 to power 6
  since 1st if 1st period is hindi next 5 period can be any1..then _5*5*5*5
  for 5 subject = 5(_5*5*5*5) = 15625
• 11 years agoHelpfull: Yes(1) No(16)
• 6C5*5C1=30...is it correct?
• 11 years agoHelpfull: Yes(1) No(13)
• each subject should be allowed at least one period thus 5 subjects can be arranged in 5! manner and the last period has 5 options thus.......answer will be 5!*5=600
• 11 years agoHelpfull: Yes(1) No(5)
• There are 6 periods and 5 subjects and these 5 subjects can be arranged in 6P5 =720 ways. The remaining period can be filled in 5 ways selecting any one of the subjects. But in each of the arrangement one subject is repeated, so we get a replica for each arrangement. So we need to divide the final answer by 2.
  So the answer is 720x5 over 2 which gives 1800
• 9 years agoHelpfull: Yes(1) No(1)
• 5 peroids=5!=120
  one extra subjects=5
  total no of peroids=6
  total=120*5*6=3600
• 5 years agoHelpfull: Yes(1) No(0)
• 6p5*5c1=3600 is the right answer.. here is the link..http://books.google.co.in/books?id=a1-wnil6kTsC&pg=PA150&lpg=PA150&dq=If+there+are+Six+periods+in+each+working+day+of+a+school,+In+how+many+ways+can+one+arrange+5+subjects+such+that+each+subject+is+allowed+at+least+one+period?&source=bl&ots=ecMDGJ5Vbd&sig=_GCf7gMGQ61b6h1xXR3ATMCXSZM&hl=en&sa=X&ei=kKg-UrDLGY3NrQfLjYCoBg&ved=0CEkQ6AEwBw
• 10 years agoHelpfull: Yes(0) No(0)
• there are 5 subjects and 6 periods so 6P5=720 and for final period it can be any one of the 5 subjects so it has 5 possibilities so
  ans=720*5=3600
• 9 years agoHelpfull: Yes(0) No(2)
• since each subject is allowed atleast once that means any of the five subject can be alloted each period and there is six period in one day
  so,5*5*5*5*5*5=15625
  
• 9 years agoHelpfull: Yes(0) No(1)
• 5 subject can be selected from 5 subject in 5C5 ways
  1 subject can be selected in 5C1 ways
  and total 6 subject can be arrange in 6! ways
  as 2 subject must be same
  so req answer is (5C1*5C5*6!)/2!=1800
• 7 years agoHelpfull: Yes(0) No(1)