Latest TCS Aptitude Question SOLUTION: 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. . stil

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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 ??

Asked In TCS Pallavi Barjatiya (11 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

Vikrant Varshney  (11 years ago)

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

Is this solution Helpfull? Yes (35) | No (5)  

TIRUMALESH  (11 years ago)

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........

Is this solution Helpfull? Yes (8) | No (3)  

Sangita Shankar Borkar  (11 years ago)

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

Is this solution Helpfull? Yes (7) | No (7)  

Abhisek Mishra  (11 years ago)

Ans- 6P5*5C1

Is this solution Helpfull? Yes (5) | No (1)  

venkatesh bollam  (11 years ago)

I think....its 6!*5

Is this solution Helpfull? Yes (3) | No (1)  

Vikrant Varshney  (11 years ago)

Pallavi..........u r correct bcz there is repeatation of subject 2 times so w will divide it by 2!

Is this solution Helpfull? Yes (3) | No (3)  

aa  (11 years ago)

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..

Is this solution Helpfull? Yes (3) | No   

gopal das  (11 years ago)

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

Is this solution Helpfull? Yes (2) | No (2)  

sagar  (11 years ago)

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

Is this solution Helpfull? Yes (1) | No (3)  

Rajesh Kumar Sethi  (11 years ago)

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)

Is this solution Helpfull? Yes (1) | No (2)  

bhoomika sharma  (11 years ago)

vikrant plz mail me the tcs material.my id is mohini.varshney331@gmail.com

Is this solution Helpfull? Yes | No (1)  

NEETU MORWANI  (11 years ago)

i think ans should be-(6!/5!)^5
m i correct??

Is this solution Helpfull? Yes | No (4)  

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