each subject is allowed atleast one period. there are 5 subjects & 6 periods. . in how many ways we can arrange the periods ?? the qs. has been repeated so many times here. . still m nt clear with this.
the ans i carried out is( 6!/2!)*5
however evryone sayin its 6!*5
which one is correct ??

• there is 6 period. let we consider subjects are A B C D E
  now if A is used 2 times then we have to arrange A A B C D E in 6 periods which will have 6!/2! ways
  similarly for B C D E, there will be 6!/2! ways
  there are 5 subjects thus total ways=(6!/2!)*5=1800
• 11 years agoHelpfull: Yes(35) No(5)
• Pallavi, I think u r wrong. in word arrangement problems we are dividing by 2! if any alphabet is repeating twice. by considering repeated alphabet as one alphabet. but in this problem we cant because if we are alternate the sub. still effective 2hrs have to be consider .
  so ans is
  6!*5=3600........
• 11 years agoHelpfull: Yes(8) No(3)
• 1 subject------6 possibilities
  2 sub----------5
  3 sub----------4
  4 sub----------3
  5 sub----------2
  and one lecture is remaining.so,for that 5 possibilities.
  ans---> 6*5*4*3*2*5=3600
• 11 years agoHelpfull: Yes(7) No(7)
• Ans- 6P5*5C1
• 11 years agoHelpfull: Yes(5) No(1)
• I think....its 6!*5
• 11 years agoHelpfull: Yes(3) No(1)
• Pallavi..........u r correct bcz there is repeatation of subject 2 times so w will divide it by 2!
• 11 years agoHelpfull: Yes(3) No(3)
• 6 PERIODS CAN B ARRANGED IN 6! WAYS.. AND LEFT 1 PERIOD CAN B ANY 1 SUBJECT IN 5 SO 6!*5=3600 IS ANS....
  I REFFERED TEXT SO DIS IS CRCT ANS..
• 11 years agoHelpfull: Yes(3) No(0)
• 5 periods can be arranged in 6 period in 6P5 ways and 1 remaining period will be arranged in 5C1 way.So 6P5*5C1 is ans
• 11 years agoHelpfull: Yes(2) No(2)
• this is the problem in which both selection and arrangement is done first we select any five pd out of 6 pd availabele then we arrange the 5 selected pds.
  but in this problem also the word atleast require extra care
  6!/2! bcz 1 pd can repeat 6!/2!*5=1800
  
• 11 years agoHelpfull: Yes(1) No(3)
• There are 6 periods but we have to assign atleast one subject to each period.
  let the subjects are named as sub1,sub2,sub3,sub4,sub5
  first we can assign a period to sub 1 out of 6 periods (6 ways)
  then we can assign a period to sub2 out of 5 periods (5 ways)
  we can assign a period to sub3 out of 4 periods (4 ways)
  we can assign a period to sub4 out of 3 periods (3ways)
  we can assign a period to sub5 out of 5 periods (2 ways)
  after all there is a period left.
  to this period we can assign any one from these 5 subjects so 5C1
  total ways = 6*5*4*3*2*5C1 = 720 * 5C1 = 720 * 5 = 3600 (answer)
• 11 years agoHelpfull: Yes(1) No(2)
• vikrant plz mail me the tcs material.my id is mohini.varshney331@gmail.com
• 11 years agoHelpfull: Yes(0) No(1)
• i think ans should be-(6!/5!)^5
  m i correct??
• 11 years agoHelpfull: Yes(0) No(4)